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Beliebt Rechnen >

1/(y^')=(2y)/x

Lösung

\frac{1}{y ^{^{'}}} = \frac{2 y}{x}

Lösung

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

Schritte zur Lösung

\frac{1}{y ^{'} ( x )} = \frac{2 y}{x}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

((dy))/((dx)+3y)=x+e^{(-2x)}

\frac{( d y )}{( d x ) + 3 y} = x + e^{(- 2 x)}

y^'=-sqrt(xy),y(0)=1

y^{^{'}} = - x y, y (0) = 1

(sin(x)sin(y))dy=(cosh(x)cos(y))dx

(sin (x) sin (y)) d y = (cosh (x) cos (y)) d x

(dP)/(dt)P=(5000(2)^{-t/(10)})

\frac{d P}{d t} P = (5000 (2)^{- \frac{t}{10}})

y + y^{^{'}} x = 0