Exercise
$\frac{dy}{dx}\csc\left(x\right)=\frac{-y^{15}}{12}$
Step-by-step Solution
Learn how to solve combining like terms problems step by step online. Solve the differential equation dy/dxcsc(x)=(-y^15)/12. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{12}{-y^{15}}dy. Simplify the expression \frac{1}{\csc\left(x\right)}dx. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.
Solve the differential equation dy/dxcsc(x)=(-y^15)/12
Final answer to the exercise
$y=\frac{\sqrt[14]{6}}{\sqrt[14]{-7\cos\left(x\right)+C_1}},\:y=\frac{-\sqrt[14]{6}}{\sqrt[14]{-7\cos\left(x\right)+C_1}}$