(dy)/(dx)=6x^6y-y

Lösung

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

y = e^{\frac{6 x ^{7}}{7} - x + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{\frac{6 x ^{7}}{7} - x + c_{1}}

y = e^{\frac{6 x ^{7}}{7} - x + c_{1}}

(\frac{( x + 1 ) ^{2} + 6}{4 ( x + 1 )}) \frac{d y}{d x} = tan (y)

x^{^{'}} - x = - 1

y^{^{'}} = \frac{cot ^{2} ( x )}{2 y}

\frac{d z}{d t} = 8 t e^{3 z}

y^{^{'}} + y = 40