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Beliebt Rechnen >

y^'=t*sqrt(y)

Lösung

y^{^{'}} = t \cdot y

Lösung

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

Schritte zur Lösung

y^{'} (t) = t \cdot y

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

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\int 6 sin (x) d x

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t an g e n t f (x) = x^{2} - 6 x, at x = 7

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