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Beliebt Rechnen >

(y^')/(y^{1/2)}=-u

Lösung

\frac{y ^{^{'}}}{y ^{\frac{1}{2}}} = - u

Lösung

y = \frac{u ^{2} t ^{2}}{4} - \frac{c _{1} u t}{2} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{y ^{'} ( t )}{y ^{\frac{1}{2}}} = - u

Solve separable ODE:

y = \frac{u ^{2} t ^{2}}{4} - \frac{c _{1} u t}{2} + \frac{c _{1}^{2}}{4}

y = \frac{u ^{2} t ^{2}}{4} - \frac{c _{1} u t}{2} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

3(dy)/(dx)+2y=5

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

(dy)/(dx)=(y^2+y^2cos(x))^2

\frac{d y}{d x} = (y^{2} + y^{2} cos (x))^{2}

y^'=-3y^{4/3}sin(t)

y^{^{'}} = - 3 y^{\frac{4}{3}} sin (t)

(dy)/(dx)=(x+1)/(e^y)

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

(dy)/(dx)=-8/9 x^2y^6

\frac{d y}{d x} = - \frac{8}{9} x^{2} y^{6}