sqrt(x)(dy)/(dx)+sqrt(y)=0

Lösung

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

y = x - c_{1} x + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

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

Solve separable ODE:

y = x - c_{1} x + \frac{c _{1}^{2}}{4}

y = x - c_{1} x + \frac{c _{1}^{2}}{4}

\frac{d y}{d x} = x^{4} (y - 4), y (0) = 8

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

e^{y} y^{^{'}} = 1

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

4 \cdot y^{^{'}} + y = 0