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. Any help would be greatly appreciated! Thank you!
-
dR/dx = a(R^2 + 16)
dR/(R^2 + 16) = a dx
Integrating both sides:
1/4*arctan(R/4) = ax + C
arctan(R/4) = 4ax + C
R = 4*tan(4ax + C)
dR/(R^2 + 16) = a dx
Integrating both sides:
1/4*arctan(R/4) = ax + C
arctan(R/4) = 4ax + C
R = 4*tan(4ax + C)