x*(dx)/(dy)=4y

Lösung

x \cdot \frac{d x}{d y} = 4 y

y = \frac{c _{1} + x ^{2}}{2}, y = - \frac{c _{1} + x ^{2}}{2}

Schritte zur Lösung

x \cdot \frac{d}{d y} (x) = 4 y

Solve separable ODE:

y = \frac{c _{1} + x ^{2}}{2}, y = - \frac{c _{1} + x ^{2}}{2}

y = \frac{c _{1} + x ^{2}}{2}, y = - \frac{c _{1} + x ^{2}}{2}

\frac{d y}{d x} + \frac{2}{x} y = 0

\frac{d y}{d x} = y + \frac{y}{x ln ( x )}, y (e) = 1

\frac{d y}{d x} = - x y, y (0) = 1

y^{^{'}} + y = u, y (0) = \frac{- 1}{2}

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