(dy)/(dx)y=(6+sin(x))^x

Lösung

\frac{d y}{d x} y = (6 + sin (x))^{x}

y = 2 \cdot \int (6 + sin (x))^{x} d x, y = - 2 \cdot \int (6 + sin (x))^{x} d x

Schritte zur Lösung

\frac{d y}{d x} y = (6 + sin (x))^{x}

Solve separable ODE:

y = 2 \cdot \int (6 + sin (x))^{x} d x, y = - 2 \cdot \int (6 + sin (x))^{x} d x

y = 2 \cdot \int (6 + sin (x))^{x} d x, y = - 2 \cdot \int (6 + sin (x))^{x} d x

\frac{d y}{d x} = k \cdot y

(1 + y) d y = y d x

x^{^{'}} + \frac{3}{200} x = 0.06

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

\frac{d y}{d x} = \frac{3 y - 1}{x}