(d^2y)/(dx^2)=e^{5x^2}

Lösung

\frac{d ^{2} y}{d x ^{2}} = e^{5 x^{2}}

y = \int \frac{π}{2 5} erfi (5 x) + c_{1} d x

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} = e^{5 x^{2}}

Ersetze

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

mit

y^{''} (x)

y^{^{''}} (x) = e^{5 x^{2}}

Löse

y^{''} (x) = e^{5 x^{2}} : y^{'} (x) = \frac{π}{2 5} erfi (5 x) + c_{1}

Löse

y^{'} (x) = \frac{π}{2 5} erfi (5 x) + c_{1} : y = \int \frac{π}{2 5} erfi (5 x) + c_{1} d x

y = \int \frac{π}{2 5} erfi (5 x) + c_{1} d x

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