-0.625x + y y' = -x -0.625y X =

Q: Calculate y" and y'''. y = 4t 3 - 9t 2 + 7

A: Given that  y = 4t3 - 9t2 + 7 We have to calculate y'' and y'''. First we find y'. y' = ddty     =…

Q: y = (2y^4 + 2x)y' How can I solve it?

A:

Q: (3y" + y' - 14)= 3*13e26x - 78

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

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: 2x'+4x-6-0

A:

Q: Find the general solution 1. (d^4−1)?=7x^2

A:

Q: Differentiate.

A:

Q: 2ydx-(1-x^2)dy=(x^2-1)dx when x=0 and y=-1

A:

Q: y=c_1e^x+c_2x^3

A: Elemination of arbitrary constants

Q: y' = x - 4xy

A: We have to find solution of differential equation.

Q: 3x2y' = 5x - 6xy, x=2 when y=1

A:

Q: you-y'= lot cos(2t)

A: Given that y''+y'=6tcos2t

Q: y' - 4y = 4y18

A:

Q: Find d^2y / dx^2 when y = 8+x / 4-x

A: Simply take two times derivative of the given equation using the derivative of the form  u/v

Q: F(x)=2/3•2^-6x+5

A:

Q: y=(x^1/2)^7x find y'

A:

Q: Differentiate. et y = 8x2 y' =

A: Given:- y =ex /(8x2)  To find:- y'

Q: y” + 3y = -48x^2 e^3x

A:

Q: Solve the ODE  y'=-2xy2

A: Solve the ODE  y'=-2xy2

Q: Order One DE y'-(3tanx)y=1

A: The given differential equation is the linear of the form y' + P(x) y = Q(x) Where, P(x) = -3tanx…

Q: Solve y'= 3y.x² 3 x³ + 2y4

A: This question can be solved using the concept of linear differential equation.

Q: Simplify the expression xyz + x’y + x’y’

A: We have to simplify the expression xyz+x'y+x'y'.

Q: Find L'} se 's²+4'

A: In the given question we have to find the Laplace inverse transformation of the given function f(s)…