Find the general solution of the differential equation.

Q: Find the general solution of the differential equation √(x3 − 5)  y′ = x2

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Q: Solve the differential equation y ' = x y 2

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Q: Which of the options is the differential equation that accepts the solution of the following…

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Q: Find the general solution of the differential equation.

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Q: Find the solution of the given differential equation

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Q: Find the general solution of the differential equation. 1 こ

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Q: Determine an appropriate substitution and then solve the differential equation. ху'%3D у In(ху)

A: We will substitute v = xy to solve the given differential equation. after substitution the…

Q: Find the general solution of the differential equation: logS=x+y

A: We have given a differential equation ,  logS = x + y We know that , elog(a) = a . So , elog(S) = ex…

Q: ~2 _ dar,ך3-א 3זר) ד2?ו? .מ

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Q: Find the singular points of the differential equation?

A: Concept:

Q: Solve the differential equation y 2ху — х?у, у(1) %3D 2.

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Q: Find the differential equation that has y = C1 + C2x as its general solution.

A: To find the original differential equation we  have to eleminate the arbitrary constants by…

Q: Find the gene solution of the differential equation y+2xyy'-e-2yy'=0

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Q: Solve the differential equation 3yy' 7x.

A: Given differential equation is 3yy'=7x

Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-2t 2 = 0

A: We need to determine a differential equation corresponding to the general solution: y=c1e5t+c2e-2t.

Q: Use exponential shift to find the general solution of the differential equation. (D+1)°y = 0

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Q: - 1 - 1 dx ?

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Q: -y'-11ly 0

A: Given differential equation is y''-y'-11y=0

Q: Find the differential equation whose general solution is y = A + B e^(- 4x)

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Q: find the solution of this differential equation: (x − 1)y′ = y + 2(x − 1)^3

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Q: Calculate whether the differential equation is exact or not and Find the general solution.

A: The given differential equation is:x2+2x+ydx+2dy=0We need to check whether the equation is exact or…

Q: Solve the differential equation by using the linear equation method 2r dt +4

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Q: Find the general solution of the differential equation 2xyy' = 2y² – x²

A: given 2xy y' = 2y' -x'y' = 2y2-x22xy---(1)put y =vxy' = v + xv'---(2)so from (!) we have y' =…

Q: Find the order of the differential equation. And check if it is linear or nonlinear.

A: Given the differential equation

Q: Find a differential equation whose general solution is y = c₁et + c₂e-4t . = 0

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Q: determine if the equation takes the linear form, if so, find the integrating factor and solve the…

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Q: Find the general solution for the differential equation. y' = 2 - x³ + x6

A: Given query is to find the solution of the differential equation.

Q: Show that the differential equation below is homogeneous and find the general solution.

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Q: b) Find the general solution to the differential equation

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Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

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Q: Find the general solution of the differential equation

A: We have given differential equation drds=49r We have to find general solution of differenial…

Q: Find a differential equation whose general solution is 9t = C₁e⁹t + c₂e-5t. y = = 0

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Q: Find the solution of the given differential equation.

A: Here in order to solve this differential equation, we will first check that the differential…

Q: Find the general solution of the given differential equation

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Q: Find the general solution of the differential equation. ху + у' %3D 94х y =

A: Given query is to find the solution of the differential equation.

Q: Solve the differential equation. y' + 5xeY = 0

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Q: 21

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Q: Find a differential equation whose general solution is y = c₁e5t + c₂e-²t. = 0

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Q: Find a differential equation whose general solution is 7t y = c₁e²t + c₂e-5t = 0

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Q: The solution of the differential equation: y - = y? is

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Q: tx' = x + te-.

A: See the details below.

Q: Find the order and degree of the differential equation:

A: Given,                d2ydx2+5dydx4=13sinx

Q: Solve the differential equation. y' + 3xe" = 0

A: The given differential equation is: y'+3xey=0 To solve the differential equation.

Q: Which kind of the differential equation is it

A: dydx=y' = x2y+y3x3+y3 is the given differential equation.    Degree of Numerator =3  Degree of…

Q: x²(y+: x(2y+

A: The differential equation is x2y'=4x2+7xy+2y2. Divide by x2 on both sides, y'=4+7yx+2yx2 Substitute…

Q: с. у -у%3х y = x

A: We have to find general solution of given differential equation.

Q: Hi, can I get help with this problem? Thank you! 3.4

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Q: Find a differential equation whose general solution is 6t y = c₁et + c₂e -3t = 0

A: We find a differential equation whose general solution is y=c1e6t+c2e-3t.

Q: The main mathematical operation in solving for the solution of a differential equation is…

A: 6.The main mathematical operation in solving for solution of a differential equations  is…

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.