6. Solve the initial value problem: dr (2² + 2y?). ay, y(-1) = 1 dy

Q: a. y" + 2y + y = 2t² e¯¹

A:

Q: 1. Find 2(3z + 4)² dz.

A:

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

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Q: Solve Ja-yi ) dy

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Q: dy For each of the following functions determine dr

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Q: dy Solve the initial value problem: + 2y = 6e¬x; y(0) = 8

A: Since the given differential equation is first order linear differential equation so we first find…

Q: Q9. Solve (x3 + уз)dy + x2y dх %3D0

A:

Q: 7. Solve: dy x + 3y d.x 3x + Y

A:

Q: (2x2y+3y3)dx - (x3+2xy2)dy = C Solve for Particular Solution when x = 1, y = 1

A:

Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: Solve for A y and dy if y = f (x) = -3x + 2x2 – 3x +5 %3D and

A: Given that: y=f(x)  =-3x3+2x2-3x+5

Q: Solve the following edo y²dx + (x² + xy + y²)dy = 0, y(0) = 1

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Q: 4.a) Find d dx y = ln (2²/ n (²x + 5) b) Find dy dx y = 3√√x++2x e³x (5x²)

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Q: Solve (2x – 1)3y" + (2x – 1)y' - 2y = 8x? – 2x + 3 %3D |

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Q: 7. Solve the initial value problem: dy + y = 0, y(7/3) = 0, y'(T/3) = 2 d02

A: Given the differential equation is d2ydθ2+y=0, yπ3=0, y'π3=2

Q: 3. (2x2 + 2)dy + xydx = 0

A: (2x2 + 2)dy + xydx = 0

Q: 2. Solve (y + x²y) dy dr = 1

A:

Q: 15. Find all values of the constant c so that (2x + y)dxdy = 3.

A: Given equation is Firstly, we will evaluate the integral.

Q: O Solve (ex+y)dx+(2+x+ye¹)dy=0

A: The given problem is to solve the given ordinary differential equation. We have to the exactness of…

Q: Solve 2ry" + (z+1)y+y=0 using y=

A: Series solution of a second order differential equation:

Q: dz Find from the equation x*y+ x z+ z² = 4 ax

A: We differentiate both sides with respect to x, considering z is a function of x.

Q: 7. Solve: ydx = 2(x + y)dy

A: Answer

Q: Solve y(4) - 25y" = 0

A: