Solve the differential equation...
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Solve the differential equation...

[From: ] [author: ] [Date: 11-08-24] [Hit: ]
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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!

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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)
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