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Beliebt Rechnen >

y^'y^{''}=1

Lösung

y^{^{'}} y^{^{''}} = 1

Lösung

y = \frac{1}{3} (2 t + c_{1})^{\frac{3}{2}} + c_{2}, y = - \frac{1}{3} (2 t + c_{1})^{\frac{3}{2}} + c_{2}

Schritte zur Lösung

y^{'} (t) y^{''} (t) = 1

Solve using substitution:

y = \frac{1}{3} (2 t + c_{1})^{\frac{3}{2}} + c_{2}, y = - \frac{1}{3} (2 t + c_{1})^{\frac{3}{2}} + c_{2}

y = \frac{1}{3} (2 t + c_{1})^{\frac{3}{2}} + c_{2}, y = - \frac{1}{3} (2 t + c_{1})^{\frac{3}{2}} + c_{2}

Graph

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