The General solution of the differential equation 3x2 + 2x + 6 is x3 + x2 + 6x dy using variable separable dx O y = x3 + ? + 6x + c O y = In (x3 + x² + 6x) + c y = In (x3 + x² + 6x) O y = In (x2 + x2 + 6x) + c

Q: The solution of the differential equation 3.9 + x² + x²y+ 3.9y 1+ Y dy dx using variable separable y…

A: The given equation is dydx=3.9+x2+x2y+3.9y1+y On simplifying this, we get…

Q: A particular solution of the differential equation "+3y'+4y = 8x +2 is

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Q: Find the solution of the differential equation у" — 16у 3D 2е\x y = C,eªx C2e¬4x + +xe4x а. 4 b. y =…

A: The given differential equation is y''-16y=2e4x .............................. (1)  for the…

Q: State the order of the given ordinary differential equation. d²y dx² = V1+ + (dx) ³ Determine…

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Q: Two linearly independent solutions of the differential equation y" – 4y' + 4y = 0 are O yı = e2x, y2…

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Q: general solution of the differential equation x³y" + 6x² y" + 4xy' − 4y = 0 3 - is \x{(x) = ₁₁x + ²…

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Q: The solution of the exact differential equation (3x² + 4xy)dx + (2x² + 2y)dy = 0 is: None of the…

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Q: Determine the solution of the differential equation y' = 2y + x2 + 5 1 1 X- 2 11 -2 X' 2 + Ce-2x а.…

A: Given: y' = 2y+x2+5 dydx-2y=x2+5   Linear differential equation is of the form dydx+Py= Q, where P…

Q: Solve the ff. differential equations by applying the appropriate substitution. dy = 2+y-2x+3 1) dx…

A: Since, you have asked multiple questions as per company guidelines, we will solve the first question…

Q: The general solution of the differential equation x2y′′+xy′+(25x2−9)y=0x2y′′+xy′+(25x2−9)y=0 is?

A: The differential equation of the form  x2y''+xy'+x2-ν2y=0            i is referred to as Bessel's…

Q: The solution of the Ordinary Differential Equation 4y" - y' - 3y = 0 if y(0) O and y'(0) %3| 7 - is:…

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Q: 9. What is the general solution for the differential equation y"" - 3y' - 2y = 3x? A. y C₁x +…

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Q: 14. The solution of the differential equation: (D - 2)³y = e²x is k a) y = (₁ + C₂x)e²x + xe²x b) y…

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Q: Solve the differential equation (2x + y) dx - O a. 5x+10y + In |10x O b. O c. 5x O d. 5x (4x + 2y -…

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Q: The general solution of the differential equation x²y" - 2y = Inx is O c,x? + c2xl + 2 lnx - 1…

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Q: The solution of the differential equation dy_ x³+x+2xy = 0 is : dx x2 +1 A) y = (x² + 1)[ In vx²+ 1…

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Q: Obtain the solution to the differential equation: (3x²y² + 2y³)dx + (2x³y + 6xy²)dy = 0 x³y² + 2xy³…

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Q: The differential equation x- ди ди 2u satisfying the initial condition y = xg(x). +y %3D ty u = f(x)…

A: 2)     x∂u∂x+y ∂u∂y = 2uΓ:[ x, xg(x), f(x) ]1)[x,x,2x]Pdx0dt = Qd y0dt = Rd z0dt⇒P =x,  Q = x,  R =…

Q: Find the solution of the differential equation y" – 3y' + 2y = 2x3 – 9x² + 6x %3D a. y = C,ex +…

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Q: Find a general solution to the following system of differential equations: = 9x1 + 4x2 I2 = -6x1 –…

A: given differential equations x1'=9x1+4x2x2'=-6x1-x2x3'=6x1+4x2+3x3 explanation we can write it in…

Q: Determine the solution of the differential equation у" + Зу" — 4у — 12у — 0 y = C,e2x + C,xe²x +…

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Q: The solution of the exact differential equation (3x² + 4xy)dx + (2x² + 2y)dy = 0 is: None of the…

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Q: Determine the total solution of the differential equation (D2+5D+6)y=6e(-3x)-100e2x O A. y =…

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Q: The solution of the differential equation 7+ x² + x²y+ 7y 1+ Y dy using variable dx separable x2 Py…

A: Separate the variables from terms of right hand side then transfer the terms of y to the side of dy…

Q: The general solution to the differential equation - 2 ()- is dr = 0 is | dt3 dt2 dt O x = C1 + C2e +…

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Q: A general solution of the differential equation - 3+4 = 0 is 1. A. y = c,e* +cze2x + c3xe²x B. y =…

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Q: Solve the second order differential equation ý + ý - 6y = 8e* + 3x A:y = ce2x + cze-3x + 2e* + %3D 2…

A: To solve the given differential equation, first we find complementary function (C.F.) and particular…

Q: Solve the differential equations using the method of undetermined coefficients. If no initial…

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Q: Find the general solution to differential equations 2 1) (-2xy) dx + (Siny-x²) dy 2) dy + 3xy dx = x…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: - Find the general solutions of the differential equations 6. x3 + 3y – xy' = 0 7. xy² + 3y² – x²y'…

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

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Q: 4. Solve the given differential equation. 3xvdv + (2v² – 1)dx = 0 - (2v² – 1)° = Ca+ (2v² – 1)*x O…

A: We have to find

Q: 14. The solution of the differential equation: (D-2)³y = e2²x is k a) y = (₁ + c₂x)e²x + xe²x b) y =…

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Q: Which term is included in the solution of the differential equation y” - 2y’ - 3y = e^x , y(0) = 1,…

A: Given differential equation y” - 2y’ - 3y = e^x , y(0) = 1, y’(0) = 1

Q: The general solution of the differential equation x²y" – 2y = Inx is In x C1x² + c2x¬l + 1 - 2 4 1…

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Q: The complementary solution of a given 2nd order non-homogeneous differential equation is yc = C1e2x…

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Q: Solve the linear Homogenous Differential Equations with Constant Coefficients: (D' -8D² +15)y = 0 a.…

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Q: The general solution of the differential equation x²y' – 2y = Inxr? is O cx-2 + c2x – In x – 1 2 Cx²…

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Q: Solve the differential equations using the method of undetermined coefficients. If no initial…

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Q: Consider the differential equation: 4x 4x²d²y. dy dx² +4x +(16x²-1)y=x dx which has the following…

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Q: Solve the following system of differential equations by CHRÝSŤAL method. x1 + (D+1)x2+ 2x3 =0…

A: Given system of differential equation is  x1+D+1x2+2x3=0        (i)D-2x1+3x2+3x3=0…

Q: The particular solution y, of the differential equation y" + 4y' + 4y 3x2 + 1 is (1/8) (1-2x+6x^2) O…

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Q: The general solution of the differential equation x²y" – 2y = Inx - is O C1x² + c2x¯+ In x 1 4 -2x…

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Q: 11. Find the general solution of the first-order linear differential equation. x'y'+2y a. 2x2 b. 2x2…

A: To find the general solution of the following differential equation.  x3y' +2y = e1/x^2

Q: The general solution of the differential equation x²y" – 2y = Inx² is C1x=² + c2x – ln x – , O C1x²…

A: The solution is given as

Q: Find the solution of the differential equation у" — 4у — 4х — Зех - y = Ce2x + C2e¯2x + e* + x а.…

A: Solution:

Q: The solution of the ordinary differential equation -y(4) + 4y" = 0 is: O c_0+c_1 x+c_2 e^(3x)+c_3…

A: Given -y(4)+4y''=0To find solution of Ordinary Differential equation:

Q: Find the solution of the differential equation y"-4y = 4x - e3x y = C,e2x + Cze=2x + e* + x a. %3D…

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Q: Find the general solution of the following system of differential equations by decoupling: x,' = x,…

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Q: What is the general solution of the differential equation: yiv + 6y''' - 39y'' - 124y' + 480y = 0…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.