Question

find the general solution to the exact differential equation
dy/dx=CSC^2(X)-42X^5

Answer 1

show step to step solution

Answer 2

\[\frac{ dy }{dx }=\csc ^2x-42 x^5\]
\[y=\int\limits (\csc ^2x-42x^5)dx=\int\limits \csc ^2x ~dx-42\int\limits x^5~dx+c\]
\[\left[ \int\limits \csc ^{2} x~ dx=-\cot x\right] \]
complete it.