(dy)/(dx)=(cos(8x))/(cos(4y))

Lösung

\frac{d y}{d x} = \frac{cos ( 8 x )}{cos ( 4 y )}

y = \frac{arcsin ( \frac{1}{2} sin ( 8 x ) + c _{1} )}{4} + \frac{πn}{2}, y = \frac{π}{4} + \frac{arcsin ( - \frac{1}{2} sin ( 8 x ) - c _{1} )}{4} + \frac{πn}{2}

Schritte zur Lösung

\frac{d y}{d x} = \frac{cos ( 8 x )}{cos ( 4 y )}

Solve separable ODE:

y = \frac{arcsin ( \frac{1}{2} sin ( 8 x ) + c _{1} )}{4} + \frac{πn}{2}, y = \frac{π}{4} + \frac{arcsin ( - \frac{1}{2} sin ( 8 x ) - c _{1} )}{4} + \frac{πn}{2}

y = \frac{arcsin ( \frac{1}{2} sin ( 8 x ) + c _{1} )}{4} + \frac{πn}{2}, y = \frac{π}{4} + \frac{arcsin ( - \frac{1}{2} sin ( 8 x ) - c _{1} )}{4} + \frac{πn}{2}

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