(dy)/(dx)=8x^6y-y,(1)=-2

Lösung

\frac{d y}{d x} = 8 x^{6} y - y, (1) = - 2

y = e^{\frac{8 x ^{7}}{7} - x + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = 8 x^{6} y - y

Solve separable ODE:

y = e^{\frac{8 x ^{7}}{7} - x + c_{1}}

y = e^{\frac{8 x ^{7}}{7} - x + c_{1}}

\frac{d y}{d x} + 50 y = \frac{1}{2}, y (0) = 0

y^{^{'}} = 8 t - 10 t - 2 t \cdot y

\frac{d}{d x} (x y) = cot (x) y

y^{^{'}} - e^{y} x = 0

x \cdot \frac{d y}{d x} = \frac{1}{y ^{3}}