Calculus Easy 10 points?

Question

1. Find the solution of the differential equation dy/dx = 6x^2 - 7 = 20, when x = 0

A. y = 2x^3 - 7x

B. y = 2x^3 - 7x + 20

C. y = 2x^3 -7x + 10

D. y = 2x - 7x + 5

2. Find the most general solution of the differential equation d^2 s / dt^2 = 32; given that s = 4 ds/dt = 2 when t =0

A. s = 16t^2 + 2t - 4

B. s = 16t^2 + 2

C. s = 16t^2 + 2t + 4

D. s = 16t^2 + 2t + 2

 

Answer 1

2)

Substitute the value of C in

 

 

Substitute the value in

Option C is correct.

Answer 2

1)

Substitute the C value in .

Option B is correct.