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Beliebt Rechnen >

y^{''}+2y=e^x+x^3

Lösung

y^{^{''}} + 2 y = e^{x} + x^{3}

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{1}{3} e^{x} + \frac{x ^{3} - 3 x}{2}

Schritte zur Lösung

y^{''} (x) + 2 y = e^{x} + x^{3}

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{1}{3} e^{x} + \frac{x ^{3} - 3 x}{2}

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{1}{3} e^{x} + \frac{x ^{3} - 3 x}{2}

Graph

Beliebte Beispiele

integral of (e^x)/(sqrt(1-4e^{2x))}

\int \frac{e ^{x}}{1 - 4 e ^{2 x}} d x

inverselaplace (1.5)/(((s+1)))

in v erse l a pl a ce \frac{1.5}{( ( s + 1 ) )}

y^'=e^{4y}sin(5x)

y^{^{'}} = e^{4 y} sin (5 x)

d/(dθ)(sin(3θ))

\frac{d}{d θ} (sin (3 θ))

integral of x^2a^{2x}

\int x^{2} a^{2 x} d x