Solve the differential equation Assume a is a non-zero constant, and use C for any constant of integration that you may have in your answer.

Question

Solve the differential equation

dR/dx = a(R^2+16)

Assume a is a non-zero constant, and use C for any constant of integration that you may have in your answer.

R=________

Answer 1

Separate the variables.

The R² + 16 will give you an arctan integral.

R = 4 tan(4ax + C)