(dy)/(dx)y=(cos^4(sin(5x)))

Lösung

\frac{d y}{d x} y = (cos^{4} (sin (5 x)))

y = 2 \cdot \int cos^{4} (sin (5 x)) d x, y = - 2 \cdot \int cos^{4} (sin (5 x)) d x

Schritte zur Lösung

\frac{d y}{d x} y = (cos^{4} (sin (5 x)))

Solve separable ODE:

y = 2 \cdot \int cos^{4} (sin (5 x)) d x, y = - 2 \cdot \int cos^{4} (sin (5 x)) d x

y = 2 \cdot \int cos^{4} (sin (5 x)) d x, y = - 2 \cdot \int cos^{4} (sin (5 x)) d x

\frac{d y}{d x} = - \frac{7}{5} x^{4} y^{2}

y^{^{'}} + 2 y x = 0

y^{^{'}} = 8 t cos^{2} (y)

\frac{d x}{d y} x^{3} + y^{3} = 3

x \cdot y^{^{'}} = (1 - y^{2})^{\frac{1}{2}}