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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{1}{2} e^{2 x} x + c_{1} x

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{1}{2} e^{2 x} x + c_{1} x

y = \frac{1}{2} e^{2 x} x + c_{1} x

Graph

Beliebte Beispiele

integral from 0 to pi of (sin^2(x))

\int_{0}^{π} (sin^{2} (x)) d x

integral of (4x+1)^2e^{2x}

\int (4 x + 1)^{2} e^{2 x} d x

integral of cos(2/3 x)

\int cos (\frac{2}{3} x) d x

y^{''}+4y^'+3y=20te^{5t}

y^{^{''}} + 4 y^{^{'}} + 3 y = 20 t e^{5 t}

(dy)/(dx)=(4x^2)/(sqrt(4+x^3))

\frac{d y}{d x} = \frac{4 x ^{2}}{4 + x ^{3}}