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Beliebt Rechnen >

(dy)/(y^{1/2)}=xdx

Lösung

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

Lösung

y = \frac{x ^{4}}{16} + \frac{c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{x ^{4}}{16} + \frac{c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

y = \frac{x ^{4}}{16} + \frac{c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

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

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

y^'=(7x^2-1)/(7+4y)

y^{^{'}} = \frac{7 x ^{2} - 1}{7 + 4 y}

(dy)/(dx)y=ln(arccos(x^2+4))

\frac{d y}{d x} y = ln (arccos (x^{2} + 4))

y^'+ysin(x)=3sin(x)

y^{^{'}} + y sin (x) = 3 sin (x)

(\frac{5 y}{3}) y^{^{'}} = x