What is the solution for sin(x)y^'+(sin^2(x))/(cos(x))y=0 ?

The solution for sin(x)y^'+(sin^2(x))/(cos(x))y=0 is y=c_{1}cos(x)

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sin(x)y^'+(sin^2(x))/(cos(x))y=0

sin (x) y^{^{'}} + \frac{sin ^{2} ( x )}{cos ( x )} y = 0

y = c_{1} cos (x)

Solution steps

sin (x) y^{'} (x) + \frac{sin ^{2} ( x )}{cos ( x )} y = 0

Solve separable ODE:

y = c_{1} cos (x)

y = c_{1} cos (x)

y^{^{'}} = - \frac{1}{5} y^{2}, y (0) = 0.25

4 \frac{d y}{d x} = \frac{e ^{y} sin ^{2} ( x )}{y sec ( x )}

\frac{d y}{d x} + x \cdot y = x \cdot y^{2}

y^{^{'}} = 0.1044 \cdot y, y (0) = 100000

What is the solution for sin(x)y^'+(sin^2(x))/(cos(x))y=0 ?
The solution for sin(x)y^'+(sin^2(x))/(cos(x))y=0 is y=c_{1}cos(x)