y' y² 2 + 2ty, y(1) = 1. 2 3 +1² t

Q: Evaluate 6x² (x³ – 1) dx

A: Given,          ∫036x2x3-1dx

Q: ndx + x[y² + lnx / dy ==

A: We have to solve the following differential equation                     ydx+x(y2+lnx)dy=0

Q: - ydx + (x ++ Vxy )dy= 0

A:

Q: calculate y" and y"'. y = 7 − 2x

A: Given function: y=7-2x

Q: Example // Solve (xeš + y) dx – x dy = 0 |

A: The given expression is the differential equation, hence methods for the solution helps to solve the…

Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

A:

Q: SOLVE

A:

Q: x3y dx= (x3+y3)dy

A:

Q: SOLVE FOR CL is constant : A² jª (a²-2₁²x² + x²) dx = 1

A: The given integral is A2∫-aaa4-2a2x2+x4dx=1. We have to find the value of a.

Q: x2y dx=(x3+y3)dy

A: Consider the given differential equation, x2ydx=x3+y3dy⇒dydx=x2yx3+y3 This is a homogeneous equation…

Q: Find dy/dx. y = __2x + 3)3__ (4x 2 − 1)8

A:

Q: Find y'. y=(4x-4)(2x+1) OA. 16x-2 B. 8x-4 OC. 16x-12 OD. 16x-4

A:

Q: c. g(x) = (10 – 2V)(3lnx + x³) Answer: g'(x) = , Sinx d. y = 6+0.5x2 (do NOT expand) Answer:

A: Derivative of given function

Q: Solve (yz + хуz) dx + (zx + хуz) dy + (ху + хуz) dz =

A:

Q: dx x(2x+1)

A: The given integral

Q: 8.) Find of y3 = x* + 3x d?y dx2

A:

Q: y= Sinh (3x+5x+6) 2. %3D

A: We have to find differentiation of the given function.

Q: j'+7y'+12y=2le", y(0); (0)=,"'(0)= -10. 10)=-10 .

A:

Q: The question is:  y=(x^2+x^3)^4 , find y’

A: The given equation is y =(x^2+ x^3)^4.By the chain rule of differentiation, compute y'.

Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

A:

Q: 1/2 (5x+ 3x"-7)ck

A: Solution