dx-7xydy=2ydy

Lösung

d x - 7 x y d y = 2 y d y

y = \frac{2 ln ( 7 x + 2 ) + c _{1}}{7}, y = - \frac{2 ln ( 7 x + 2 ) + c _{1}}{7}

Schritte zur Lösung

d x - 7 x y d y = 2 y d y

Solve separable ODE:

y = \frac{2 ln ( 7 x + 2 ) + c _{1}}{7}, y = - \frac{2 ln ( 7 x + 2 ) + c _{1}}{7}

y = \frac{2 ln ( 7 x + 2 ) + c _{1}}{7}, y = - \frac{2 ln ( 7 x + 2 ) + c _{1}}{7}

\frac{d y}{d t} = 2 t \cdot y^{2}

y^{^{'}} + 8 y = 64

\frac{d y}{d x} = \frac{3 x ^{2} + 5 x}{4 y ^{3}}

\frac{d y}{d x} = \frac{y ^{2} + 1}{x y}

\frac{d y}{d x} = - \frac{4 y}{x - 5}