(4) y" + 6y' + 10y = 20x + 22; y (0) = 2, y'(0) = -2 %3D

Q: Differentiate. ax + b f(x) %3D Cx + d f '(x) =

A:

Q: (4x' - 6x) dx = 4x³ Evaluate

A:

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

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

A:

Q: Differentiate. y= In [(x + 4)(5x– 6)(3 – x)] d dy In ((x+ 4)(5x – 6)(3–x))) = |

A: Given: To find: The derivative of the given function.

Q: y=3x+4 / 2x+1 y`(0)=?

A:

Q: 1. f4x-³ dx -3

A: Find the integral

Q: Q2. Solve the following differential equation by using modified Euler's method with a step size of…

A:

Q: for

A:

Q: 3. y'+7=(-2x+ y)';y(0) = 0

A:

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

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

Q: y=x^2+2x+1 / x^2-2x+1 is equal to y'= -4(x+1) / (x-1)^3  True or False?

A: Simply and differentiate to get the answer.

Q: Find y' if y = In(7x² + 3y²). y' =

A:

Q: y' - 4y = 4y18

A:

Q: 4= Find y 13x+(2x3-x'

A: To find the derivatives

Q: Find y'

A: given

Q: y-5y't 4y =O x10)-5 y'l0)=2

A: We have to find the particular solution of the initial value problem…

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: y' = 3.2y – 10y .2

A: According  to guidelines we solve one question. Thanku

Q: f ′= (6/(x^2))+ 3√x, f (1) = −5

A:

Q: find dp/ dq. sin q + cos q = cos q

A:

Q: 3. For h(x) = (2x+3)2 find h' (1). (3-x)4

A:

Q: 1 2 (2.) } ² dx 2 2 ²x + 4x + 5

A:

Q: y' = 2x + 14

A:

Q: 7. Inx dx

A: We need to evaluate definite integral.

Q: So λ (1-ey) o λ + (2-2) e-y Ө 0+ ℗ + (2 − 0) e¯½ dy

A:

Q: (x^2 + 4)dy = (2x-8xy)dx

A: Answer

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.