16. xy"-5y' + xy = 0

Q: y" - 3y' + 2y = 2x² + ex + 2xe* + 4e³x

A:

Q: 12e* y' - 2y'+ y = 3

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Q: у" — бу' + 9у %3 t'e", y(0) 3D 2, У (0) 3D 17

A:

Q: (3y" + y' - 14)= 3*13e26x - 78

A: The given differential equation is  (3y" + y' - 14)= 3*13e26x - 78

Q: y” – 10y’ + 25y = 30x+3

A:

Q: 5. S dx

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Q: x' -x? dxp x* +2x2 +1

A:

Q: Substitute the given values into the formula and solve for the unknown variable. A =5(b+ B)h; A =…

A: The variable for which any value is not assigned is called the unknown variable.  Here, h is the…

Q: X'=x+²* 21 -3 6. t -3 -4 2x e

A:

Q: y" - 8y + 25y = 0; y(0) = 0, y'(0) = 3

A: y''-8y'+25y=0; y(0)=0, y'(0)=3 We have to solve it using Laplace transform.

Q: y"" - y' = 2e-* - 3e2x when x = 0, y = 1, y'= -1 and y" = 2

A:

Q: y" + 5y' - 4y = 0

A: SOLUTION-

Q: (3y" + y'-14)=3*256e768x - 1536

A: The given differential equation is  (3y" + y'-14)=3*256e768x - 1536

Q: Uxx - Uyy = 0

A: Take u(x,y)=x2+y2 We have  uxx(x,y)=2 and uyy(x,y)=2

Q: 은 J4-√x dx

A: This question can be solved using integration by substitution.

Q: 4y'''+12y''+13y'+10y=0

A:

Q: x' = 2 -5 1-2, X

A: We will find eigen values and eigen vectors of coefficients matrix from given system and then find…

Q: Solve homogenous equation y'''' - 2y'' - 3y' - 2y = 0

A: Find the auxiliary equation and solve that

Q: xy' – y – 5x* – 3x² + 2x = 0 when x = 1 and y = 2

A:

Q: 9. y" + 2y'- 3y = 1 + xe*

A: The given equation is; y''+2y'-3y=1+xex.

Q: 3 LS 2dydx = 4 %3D О 20 30 О 30 О 15

A: Integrate the given double integration in given order. First Integrate with respect to y and than…

Q: 13.9y" +12y + 4y = 0, y(0) = 2, y'(0) = -1

A:

Q: Ex (S-5) (S-5)-

A: Explanation of the answer is as follows

Q: Find B so that B^2 = A where A = 1 -1 0 -1 2 -1 0 -1 1

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Q: y''''' - 3y'''' + 3y''' - y" = 0

A: To solve y""'-3y""+3y"'-y"=0

Q: X+3 Evalmating dx 5-4メ-メ2

A: We have to find the integral of given function.

Q: 16. y" — у = 0

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Q: 6. S sec3 dx

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Q: 11. x² +1 Find +3x+1 -dx

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Q: y" - 3y' + 2y = 5 ex

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: y = 2sin2x e3x

A:

Q: 11. X' -2 1 (-²¹) × X -5 4,

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Q: y"+y=sec³x

A: The given equation is: y"+y=sec3x