(dy)/(dx)=(-nsqrt(y))

Lösung

\frac{d y}{d x} = (- n y)

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

Schritte zur Lösung

\frac{d y}{d x} = (- n y)

Solve separable ODE:

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

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

\frac{d h}{d t} = kh (t)^{n}

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

y + 4 y^{^{'}} + 5 y = 0

(t^{2} + 1) x^{^{'}} = - 3 t x + 6 t

y^{^{'}} = y (0.1 - 1 0^{- 7} y)