(dy)/(dx)=xe^{6x-5y}

Lösung

\frac{d y}{d x} = x e^{6 x - 5 y}

y = \frac{ln ( \frac{5}{36} ( 6 x e ^{6 x} - e ^{6 x} ) + c _{1} )}{5}

Schritte zur Lösung

\frac{d y}{d x} = x e^{6 x - 5 y}

Solve separable ODE:

y = \frac{ln ( \frac{5}{36} ( 6 x e ^{6 x} - e ^{6 x} ) + c _{1} )}{5}

y = \frac{ln ( \frac{5}{36} ( 6 x e ^{6 x} - e ^{6 x} ) + c _{1} )}{5}

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

2 y^{^{''}} + 8 y^{^{'}} + 80 y = 40 cos (8 t)

(6 x + 1) y^{2} \frac{d y}{d x} + 3 x^{2} + 2 y^{3} = 0

x \to 3 + lim (\frac{3 x + 4}{x - 3})

(e^{x} - 1)^{^{'}}