sqrt(10-x^2)y^'=e^{6y}sin(x)

Lösung

10 - x^{2} y^{^{'}} = e^{6 y} sin (x)

y = - \frac{ln ( - 6 \cdot \int \frac{s i n ( x )}{10 - x ^{2}} d x )}{6}

Schritte zur Lösung

10 - x^{2} y^{'} (x) = e^{6 y} sin (x)

Solve separable ODE:

y = - \frac{ln ( - 6 \cdot \int \frac{s i n ( x )}{10 - x ^{2}} d x )}{6}

y = - \frac{ln ( - 6 \cdot \int \frac{s i n ( x )}{10 - x ^{2}} d x )}{6}

y^{^{'}} + (x + 4) y = 0

\frac{d x}{d y} - 2 x = 6

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

y^{^{'}} + y ln (x) = 3 ln (x)

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