5. Find the Solution: y" + 2y' + y = cost y π y (²₁7) = 1 y' y'(-7)= = 2

Q: (1-x) y'= y?

A: We have to solve the given differential equation

Q: Solve: y''+ 6y' +5y = 20t + 39 y(0) = - 4, y'(0) = 19 | y(t) =

A: The solution is given as

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

A:

Q: 4x y" - 5y + 4y = ¹, y(0) = 0, y'(0) = 10/3 e

A: Please find attachment

Q: B. Solve x' = 01 1 54 x + 12e4t 18e4t

A:

Q: Find y' for y=3x-3-7x-¹. y'=0

A:

Q: 6) Solve for y: 3"*1 = 9"-1

A:

Q: 6. Solve (a) y' = 2ry(1+ 7²)-1 (Hint: Separate.)

A:

Q: Solve. y'' – 36y = et The general solution will be 6t 6t y(t) : cje + c2e +

A:

Q: 3 3. y' for y² = x²y³

A: to find out the derivative

Q: y" - 4y' = 0

A: Given: Ordinary equation is  y''-4y'=0

Q: Įsin x cos^(3/2) x dx * O -2/5 cos^(5/2) x + C O None of the choices -5/2 cos^(5/2) x + C O -2…

A:

Q: (c) xy' + 4y = 3x², y(2) = 4

A:

Q: 3. Solve using any technique y" – 2y/ – 3y = 3e",; 7 ", y(0) = 3, y'(0)

A: We have to solve given problem:

Q: Find y' and y". y': y" = y = (²+ √x) ³

A: SOLUTION-

Q: 3. Solve y" – 2y' + 5y = 0, y(0) = 5, y'(0) = –3. %3D

A:

Q: Solve: у" + 5у'" — 2y' - 24у — 42е 5t 2y' — 24у 3D 42e — 2, у'(0) — — 6, у'"(0) —D — 30 | | | y(t) =

A:

Q: (t+ 9) y" + 2t y = 0 y(3) = 2n У 13) 2/3

A: We solve the given IVP  (t2+9)y"+2ty'=0.....(1) y(3)=2π,y'(3)=2/3

Q: Solve: y''' – 3y'" – 6y' + 8y = 0 %3D y(0) = – 6, y'(0) = - 12, y'"(0) : - 54 %3D y(t) =

A:

Q: Find y' if x = y*. C Note: Leave your answer in terms of ï and y. y

A:

Q: Solve: y'"' + 4y'' + 5y' + 2y = 0 y(0) = 4, y'(0) y(t) = = 4, y''(0) = 5

A:

Q: Solve for y: y'=7y²², y = 3 when x = 1

A:

Q: If xy? - y3 = 5, find y'. y' =

A:

Q: solve by bernoulli y' + (8/x)y = x6y4

A: We will find out the required general solution for given Bernoulli's equation.

Q: x.y’ + y + 2y’ – xsinx = 2sinx solve the equation

A: Given that xy'+y+2y'-xsinx=2sinx The equation can be rewritten as, xdydx+y+2dydx-xsinx=2sinx So,…

Q: ル。 dz = 2. For z = -5x* - 6y and a Point P ER' we have dz 23 dy Determine the value of

A:

Q: olve for y' 1. xy'-y=1-y'

A: Given xy'-y=1-y'Now lets take y to RHS and y' to LHS (Left Hand side)⇒xy'+y'=y+1Lets take y' common…

Q: Solve IVP: y'''+4y'=x, y''(0)=1; y'(0)=0.

A: Given : y'''+4y'=x

Q: 8) y'+y=17 sin(2t), y(0) =-1.

A:

Q: Solve y(H) a) Y (6) = y (4) = ? %3D b) y"-y' • 24 ylo)=1;y'(0)=-2 %3D

A: We have to find the solution y(t) from the following  a) y(s)=1s2(s2+1) b) y''-y'=2t, y(0)=1,…

Q: Solve for y. y' = 7x + xy; y = 5 when x= 0 y =

A: We have to solve for y for the given differential equation: y'=7x+xy; y=5 when x=0. Rewriting the…

Q: solve y’ – (y/x) = xy2

A: We have to solve differential equations

Q: - 1 Find y' for y=7x7 + 9x¯ y' =

A:

Q: 2. Solve y" + 2y' – 3y = 3, y(0) = y'(0) = 1. II %3D %3D

A: given differential equation is linear non homogeneous differential equation with constant…

Q: y”-y’+361y=19sin(19t)

A: It is a second order non-homogeneous differential equation. The general solution of the given…

Q: solve: y'' - 5y' + 4y = 20cos(2x) + 30sin(2x) y(0) = 1 y'(0) = 3

A: We have to solve the differential equation given below : y'' - 5y' + 4y = 20cos(2x) + 30sin(2x) ,…

Q: show that the inverse of arotation matrix is transpose,which is also arotation matrix, and it is…

A:

Q: 2. y' (4x - y₁)² = 0 -

A: This is an ODE problem.

Q: Solve y’’ – 4y' + 85y = 0, y(0) = 2, y'(0) = y(t) = - 41

A: