Use the differential equation and the given point to find the equation of the function. (give your answer correct to three decimal points)

Question

The given point is (-1,3).

 

The differential is dy/dx= -30/(4x+1)³

Answer 1

y' = -30(4x+1)^-3

 

integrating we get y = [-30(4x+1)^-2] / [(-2)(4)] +C

 

substitute (-1,3) into this equation to solve for C.

 

 

Let me know if you understand what I have done.