The general solution to y'' - xy' + y = 0 is given by:

Q: 8. y"-2y-15y=0 y(0)=5, y'(0)=-3

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Q: give me the solution of   y'' - 2y'- 2y = 0

A: Topic:- differential equation

Q: Use the 2 solutions Bernoulli's equation y' + -√√y=0 y x

A: The given differential equation y'+yx-y=0. We have to find the solution of the differential…

Q: d) Solve: y"+y"-5y' + 3y = 0

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Q: y” – 10y’ + 25y = 30x+3

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Q: Let y₁ = xe-* be a solution of the equation y" + 2y' + y = 0. Find the second solution from y₁ by…

A: We know that if y1 be a solution to the second order homogeneous lineardifferential equation…

Q: show that y=x2 is one of this equation solutions x2y''-2y=0

A:

Q: Find the general solution to y''-1=0

A: y''-1 =0y'' = 1y' = ∫1 dxy' = x + By =∫(x + B) dxy = x22 + Bx + A

Q: Use undetermined coefficients to find the particular solution to y'' - 3y' + 2y = e(-26-24x)

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Q: Eliminate the arbitrary constants of the equation y = Cje 2x + A y" - 2y' - 3y = 0 B y" - 4y' - 2y =…

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Q: 8. Use variation of parameters method to find the following differential equations: (i) y" - 4y + 3y…

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Q: use Euter me thed to solve y's 2-24

A: Let us consider the given function y'=f(x,y), y(x0)=y0 Solving using the Euler method  Then the…

Q: Find a particular solution to the given higher-order equation. y'"' - y'' - 22y' +40y = - 40t²…

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Q: d'y (3x-5)(2x + +9x=6) Determine the and of y = 7x Solution:

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Q: Find the general solution x²y" - xy + y = x lnx

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Q: a) x2y"+ xy' +(x2- 25)y = 0 b) (1 - x2) y" - 2xy' + 42y = 0 %3D %3D

A: a. Bessel ordinary differential equation has the form of x2y''+xy'+x2-v2y=0. Now, Rewriting the…

Q: Find the general solution af the equation, y' = x(1- y).

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Q: y" -2y" - y' + 2y = sin x

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Q: Find the General Solution: y" - 3y' + 2y =4e ** -4x

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Q: Choose the correct answer If x2 + y2 = 9, then y'=...  -y/x  y/x  -x/y  x/y

A: We have to find y'

Q: Solve y'' − 4y' + 4y = 3e2t

A: Solve y'' − 4y' + 4y = 3e2t

Q: 5. Solve, using the method of undetermined coefficients: y" + 2y' = 2x + 5 – e-2= %3D

A: First we shall get particular solution of y''+2y'=2x+5. Using method of undetermined coefficients y…

Q: Find a general solution of the equation: 3x?y" + 2xy' – 2y = 0

A:

Q: Solve using the method of undetermined coefficients: y" + 3y" – 10y' = 2 + xe* %3D

A: Given: y''' + 3y'' - 10y' = 2 + xex

Q: Find a particular solution to y" + 5y + 4y = -10te". Yp =

A: Given the D.E. y''+5y'+4y = -10te3t We have to find particular solution yp of this equation.

Q: Solve using method of undetermined coefficients: y" + y' - 2y = x². %3D

A: Solution :-

Q: Verify that the function y = c1e (-k+2t)x + c2e (-k-2t)x is a solution to y " + 2ky'+ (k 2 + 4)y =…

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Q: y''+4y'–1=0

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Q: Q4- Solve y"- 4y' + 13y 3x.e*

A: Topic:- differential equations

Q: use Suler thod to solve هراد5 me

A:

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.