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Beliebt Rechnen >

(dy)/(dx)=sqrt(2y)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)=(xsin(x))/(y^2),y(0)=-9

\frac{d y}{d x} = \frac{x sin ( x )}{y ^{2}}, y (0) = - 9

(dy)/(dx)50x^{1/3}y^{2/3}=600

\frac{d y}{d x} 50 x^{\frac{1}{3}} y^{\frac{2}{3}} = 600

x^{2} y^{^{'}} + x y = y

u^'=e^{9x-\H(x)}

u^{^{'}} = e^{9 x - H (x)}

y^{^{'}} = y (5 x^{2} + 3)