y^'=y(xy^6+5)

Lösung

y^{^{'}} = y (x y^{6} + 5)

y = 6 \frac{150 e ^{30 x}}{- 30 x e ^{30 x} + e ^{30 x} + c _{1}}, y = - 6 \frac{150 e ^{30 x}}{- 30 x e ^{30 x} + e ^{30 x} + c _{1}}

Schritte zur Lösung

y^{'} (x) = y (x y^{6} + 5)

Solve Bernoulli ODE:

y = 6 \frac{150 e ^{30 x}}{- 30 x e ^{30 x} + e ^{30 x} + c _{1}}, y = - 6 \frac{150 e ^{30 x}}{- 30 x e ^{30 x} + e ^{30 x} + c _{1}}

y = 6 \frac{150 e ^{30 x}}{- 30 x e ^{30 x} + e ^{30 x} + c _{1}}, y = - 6 \frac{150 e ^{30 x}}{- 30 x e ^{30 x} + e ^{30 x} + c _{1}}

\int_{1}^{9} 2^{x} d x

\int \frac{2}{( x + 2 ) ^{2}} d x

\frac{d}{d x} (3 x^{4} + 4 x^{3})

\frac{\partial}{\partial x} (60 - x^{2} y^{3})

\int_{- 125}^{27} \frac{1}{x ^{\frac{1}{3}}} d x