(dy)/(dx)=4cos(x)(3+2y)^2

Lösung

\frac{d y}{d x} = 4 cos (x) (3 + 2 y)^{2}

y = - \frac{1}{4 ( 4 sin ( x ) + c _{1} )} - \frac{6 sin ( x )}{4 sin ( x ) + c _{1}} - \frac{3 c _{1}}{2 ( c _{1} + 4 sin ( x ) )}

Schritte zur Lösung

\frac{d y}{d x} = 4 cos (x) (3 + 2 y)^{2}

Solve separable ODE:

y = - \frac{1}{4 ( 4 sin ( x ) + c _{1} )} - \frac{6 sin ( x )}{4 sin ( x ) + c _{1}} - \frac{3 c _{1}}{2 ( c _{1} + 4 sin ( x ) )}

y = - \frac{1}{4 ( 4 sin ( x ) + c _{1} )} - \frac{6 sin ( x )}{4 sin ( x ) + c _{1}} - \frac{3 c _{1}}{2 ( c _{1} + 4 sin ( x ) )}

\frac{d}{d x} (\frac{x + 1}{x - 1})

\frac{d}{d x} (\frac{60}{0.01 x ^{2} + 1})

\frac{d}{d x} (- \frac{9}{x})

(arctan (\frac{1}{x}))^{^{'}}

\frac{\partial}{\partial x} (x^{4 c o s (x)})