3. Find the general solution of y+= 3x y A. 1/(xy) = -3(x³/2) + C B. 1/(xy) = -3(x2/2) + C dx C. 1/(xy) = 3(x²/2) + C D. 1/(xy) = 3(x³/2) + C

Q: Find the general solution of the DE (2y – x2) dx + (y+2x) dx=0 А) 2ху + 3 y2 =C 2 (в) 2ху — 3 x3 y2…

A:

Q: 4. Solve the particular solution of y" + 3y' + 2y = 6e¬, y(0) = 1, y'(0) = 2, using a. Variation of…

A: we have given the differential equation y"+3y'+2y=6e-ty(0) = 1, y'(0) =2 we have to find the…

Q: 3. Solve 2x²y" + xy' − 3y = 0 with the initial condition y(1) = 1 y′(1) = 4

A: This is a Cauchy Euler equation. The equation is solved by a substitution.

Q: 1. Find the general solution of (2x + 3)y' = y + (2x + 3)ž a. y = v2x + 3[C + In(2x + 3)] b.y = (2x…

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Q: What is the particular solution for y′=−2e^x−3x^2+x−4 such that y(0)=1?

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Q: 3) Find the particular solution of the DE y" = 12x² if y(0) = 1 and y'(0) = 2.

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: The solution of y2 – x²y' = 0 with IVP (1)= . is given by y(x) = 1+x 1 y(x) = 1+x 1 y(x) = 1+ x2 (x)…

A: Given initial value problem y2-x2y'=0    ; y(1)=12

Q: find the general solution of (y^3 + yz^2 -z)dy + (z^3 + y^2 z - y) dz = 0

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Q: Give a particular solution for y" – 2y' + y = 3e*.

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Q: yp=u1x+u2x-2 is the particular solution proposed for the nonhomogeneous Cauchy-Euler equation…

A: we have given particular solution of the given differential equation.

Q: Find the general solution for the homogenous equation of y′′ − y′ − y = 0.

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Q: 8. Find the general solution of (x2 + y2 + 1) dx + (x2 – 2xy) dy = А. х2 - у? - ху — 1%3D Сх В. х2 +…

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Q: yV + 2y" + y" = re=*

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Q: Use the Method of Undetermined Coefficients to solve the Initial Value Problem y" + 2y'+ y = 3t ,…

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system the auxiliary…

Q: 19. Show that yı = 1 and y2 = /x are solutions of yy" + (y')² = 0, but that their sum y = y1 + y2 is…

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Q: Find the general solution of (xy² + x²)dy + a. 3xy + y3 = C b. 3xy - y3 = C xydx = 0 с. -Зху - уз с…

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Q: What is the general solution of xydx−(x2+3y2)dy=0

A: Topic :- Differential equation

Q: Solve the Cauchy euler equation 3x2+ 6x-6y = 3 + Inx d²y + 6x2-6y = 3 + lnx³ dx3

A: In the given question we have to solve the given Cauchy Euler equation. Method: the Cauchy Euler…

Q: Find the general solution of 2xy^2 + 4 = 2[3 - (x^2)(y)ly. (x^2)(у^2) + 4x - бу 3D С (x^2)(y^2) + 4x…

A: Tip: if you couldn't solve the differential equation, differentiate the given option and check which…

Q: 10. Find the particular solution that satisfies the initial condition. my'+2y = 3x2-5x, Initial…

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Q: 3. Verify that 3e-2x +4e* is a solution of y"- 3y' + 2y = 0.

A: We have to verify that 3e-2x+4ex is a solution of y'''-3y'+2y=0

Q: What is the general solution of xy(xy5 −1)dx + x²(1 + xy5) dy=0 ? A 2x³y³-3x²= Cx² B 2x³y5-3x²=Cy²…

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Q: 2. Solve y' = 2x(x² – y), with initial condition y(0) = 1. -

A: This is first order linear differential equation

Q: Find the general solution of ди ди (y – z) + (x – z) ди + (2y – 2x) ду - az

A: The differential equation is given as (y-z)∂u∂x + (x-z)∂u∂y  + (2y-2x)∂u∂z = 0 We will solve it by…

Q: 3. Find the general solution of y" – 3y' + 2y = e" using the method of variation of parameters.

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Q: Find the General and Particular solution of = 3y ; y = 3, when x = 0

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Q: 4. Solve the IVP y' = 2x-3y +e¯* y'= 2x- 3 y +e * with y(0) = 1 y(0)= 1

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Q: what is the general solution of y (1 + 3x ) y - v ? Oy = 4 + 3x + Ce %3D = 4 +3z + Ce" 4 + 3x + Ce…

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Q: 3) Use the Method of Undetermined Coefficients to solve the Initial Value Problem. y) – 2y" + y =…

A: Given differential equation we have to find the solution for given differential equation

Q: Obtain the general and particular solution 4. xydx + (x² + y²)dy = 0

A: The given problem is solved below in detail.

Q: 5- Find the particular solution for: 2e2x – y = xy', x = 1 when y = 6 %3D

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Q: 7. Find the solution of the IVP: y" + y' – 2y = 4t, y(0) = 1,y'(0) = 2 using method of undetermined…

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Q: 6. Use undetermined coefficients to find a general solution of -2x y" + 5y' + 6y = 3e¬2= +e3z

A: The given differential equation is y''+5y'+6y=3e-2x+e3x

Q: Obtain the particular solution of x²y" + xy' = 1; y = 0 and y' = 1/2, when x = 1

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Q: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²=…

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Q: 5. Use variation of parameters method to solve а. a. y" – 2y' + y = 1+x2

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Q: Find the particular solution of xy' – 2y = -x ; when x y = 5 1,

A: Recall: Consider the first differential equation                           dydx +P(x) y =Q(x)…

Q: (b) Solve y" + y = 0, y(0) = 3, y(1) = -3 by using finite-difference method with h = 0.2.

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Q: Find the particular solution of: y' – 4y = x²e* that satisfies y(0) = 2.

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Q: Find general solution of the DE 4y′′′ + 4y′′ + y′ = 0

A: The given equation is 4y'''+4y''+y'=0. The characteristic equation of the given differential…

Q: Find the general solution of (x³ + 2y4)y' = 3yx² in implicit form f(x, y) = c. When y(0) = 1, what…

A: We have to solve the differential equation

Q: 5. The particular solution of y' + y = y¯² when x = 0,y = 2 is

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Q: Give a particular solution for y" – 2y' + y = 3e*

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Q: The particular solution of (2x+3)y'=y+ (2x+3) ¹/2 ; y ( − 1) = 0 using LDE is A B C D -2y=√√2x +3 In…

A: Please see the below picture for detailed solution.

Q: 10. Find the particular solution that satisfies the initial condition. xy'+ 2y = 3x² – 5x. Initial…

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Q: 1 Find the general solution of x'y" +xy' -y= x+1

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Q: Find the general solution of y"+25y=sec(5x)

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