(dy)/(dx)=-3y^{2/3}sin(x)

Lösung

\frac{d y}{d x} = - 3 y^{\frac{2}{3}} sin (x)

y = cos^{3} (x) + c_{1} cos^{2} (x) + \frac{c _{1}^{2} cos ( x )}{3} + \frac{c _{1}^{3}}{27}

Schritte zur Lösung

\frac{d y}{d x} = - 3 y^{\frac{2}{3}} sin (x)

Solve separable ODE:

y = cos^{3} (x) + c_{1} cos^{2} (x) + \frac{c _{1}^{2} cos ( x )}{3} + \frac{c _{1}^{3}}{27}

y = cos^{3} (x) + c_{1} cos^{2} (x) + \frac{c _{1}^{2} cos ( x )}{3} + \frac{c _{1}^{3}}{27}

x \to - \infty lim (\frac{3}{x})

\frac{\partial}{\partial x} (\frac{x y ^{2}}{z})

y = x^{2} ln (2 x + 1)

\frac{d}{d x} (\frac{1}{( x + 1 ) ^{3} ( 3 x - 1 ) ^{2}})

\frac{d}{d x} ((\frac{x}{2})^{4})