(dy)/(dx)=e^{5x-8y}

Lösung

\frac{d y}{d x} = e^{5 x - 8 y}

y = \frac{ln ( \frac{8}{5} e ^{5 x} + c _{1} )}{8}

Schritte zur Lösung

\frac{d y}{d x} = e^{5 x - 8 y}

Solve separable ODE:

y = \frac{ln ( \frac{8}{5} e ^{5 x} + c _{1} )}{8}

y = \frac{ln ( \frac{8}{5} e ^{5 x} + c _{1} )}{8}

y^{^{'}} = \frac{x}{y - 1}, y (3) = 2

\frac{d y}{d x} + 2 y = y

x^{^{'}} = x \cdot cos (t) + x^{2} \cdot cos (t)

\frac{d}{d θ} (r (θ)) + r (θ) tan (θ) = 9 tan (θ)

x^{2} y^{^{'}} = 3 y^{2}