2y" + 29y = 0, %3D y(0) = 7, y' (0) = 7. y(t) =

Q: d. yy'- y = 6 e*, y(0) = 1 %3D е. %3D %3D

A:

Q: 1 Y(s) 4 5s2 S

A:

Q: Find y' for y=3x-3-7x-¹. y'=0

A:

Q: 2) y' – (cotx)y = -(2cosx)y2 %3D

A:

Q: Find y'  if e x/y      = x   -y

A:

Q: Calculate y'  if y=1/(x+(x)^1/2))^1/3

A:

Q: Find y' if y = In(7x² + 3y²). y' =

A:

Q: Find y' for y = 7x-3+ 5x - 1

A:

Q: Find y' and y". In(3x) y = y" %3!

A: Given y=ln3xx6

Q: Find y' for y= [1 + *(¹ + ³) ³. 3 3 X y' =

A: We need to find second derivative.

Q: find y' for y=xe(x^2  + 2x + 3)^3 step by step

A: Derivative of e^x is e^x Derivative of x^n is nx^(n-1) Product rule :(fg)'=f'g+g'f

Q: yr' = sec2 y

A:

Q: y"+y=sec³x

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

Q: Find y''. 6 7 y=x + 4x

A:

Q: - 1 Find y' for y=7x7 + 9x¯ y' =

A:

Q: Find y' for y=8x7 + 4x¯¹. 1 y'=0

A:

Q: solve. y'−( 1/x) y = x^3, where x>0

A:

Q: Solve ry + (2r* – 1)y = 4x*e %3D

A: Solving the first order differential equation

Q: Find y' for (xy) ³/2 = 27 at the point (3, 3). At (3, 3), y =

A: at the point where need to find the value given the question

Q: Find y' if y= 8 3 7x

A:

Q: . y′ = 2y y'

A: Given differential equation: We have to find the solution of the given differential equation.

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.