Solving: $6\frac{df}{dx}yx\cos\left(x\right)^2-6x^2\cos\left(y\right)^3=0$
Exercise
$\frac{df}{dx}\cos x^2y\left(6x\right)-\cos y^3\left(6x^2\right)$
Step-by-step Solution
Learn how to solve separable differential equations problems step by step online. Solve the differential equation df/dxcos(x)^2y*6xcos(y)^3-6x^2=0. Factor the polynomial 6\frac{df}{dx}yx\cos\left(x\right)^2-6x^2\cos\left(y\right)^3 by it's greatest common factor (GCF): 6x. Divide both sides of the equation by 6. Divide both sides of the equation by x. We need to isolate the dependent variable f, we can do that by simultaneously subtracting -x\cos\left(y\right)^{3} from both sides of the equation.
Solve the differential equation df/dxcos(x)^2y*6xcos(y)^3-6x^2=0
Final answer to the exercise
$f=x\tan\left(x\right)\cos\left(y\right)^{3}+\ln\left|\cos\left(x\right)\right|\cos\left(y\right)^{3}+C_0$