Question

can someone help me solve a differential equation.

Answer 1

\[\frac{ dy }{ dx } = \frac{ 6xe ^{3x} }{ y ^{2} }\]

Answer 2

rearrange them se that the 'y' terms are on one side and the 'x' terms are on the other side.Its variable separable.

Answer 3

\[ (y ^{2})dy = dx (6xe ^{3x})\]

Answer 4

good. now integrate both sides (indefinite) the LHS should be fairly easy. For the RHS , you may have to integrate by parts .

Answer 5

in the end , add the constant C on any one side and you're done :)

Answer 6

thank you!!

Answer 7

welcome :)