Exercise
$\frac{dy}{dx}=\frac{6xcos^2x-ysinx}{cosx}$
Step-by-step Solution
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=(6xcos(x)^2-ysin(x))/cos(x). Expand the fraction \frac{6x\cos\left(x\right)^2-y\sin\left(x\right)}{\cos\left(x\right)} into 2 simpler fractions with common denominator \cos\left(x\right). Simplify the resulting fractions. Rearrange the differential equation. Simplifying.
Solve the differential equation dy/dx=(6xcos(x)^2-ysin(x))/cos(x)
Final answer to the exercise
$y=\left(3x^2+C_0\right)\cos\left(x\right)$