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Beliebt Rechnen >

(D-2)^2y=20-3xe^{2x}

Lösung

(D - 2)^{2} y = 20 - 3 x e^{2 x}

Lösung

y = c_{1} e^{2 x} + c_{2} x e^{2 x} + 5 - \frac{e ^{2 x} x ^{3}}{2}

Schritte zur Lösung

(D - 2)^{2} y = 20 - 3 x e^{2 x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} x e^{2 x} + 5 - \frac{e ^{2 x} x ^{3}}{2}

y = c_{1} e^{2 x} + c_{2} x e^{2 x} + 5 - \frac{e ^{2 x} x ^{3}}{2}

Graph

Beliebte Beispiele

y^{''}-y=cos^2(x)

y^{^{''}} - y = cos^{2} (x)

y^{''}+4y=3sin(2x)+x^2-1

y^{^{''}} + 4 y = 3 sin (2 x) + x^{2} - 1

y^{''}+4y=cos(x)cos(3x)

y^{^{''}} + 4 y = cos (x) cos (3 x)

y^{''}+3y=-48t^2e^{3t}

y^{^{''}} + 3 y = - 48 t^{2} e^{3 t}

solvefor d,d(t)=(100ln(t+2))/(t+2)

so l v e f or d, d (t) = \frac{100 ln ( t + 2 )}{t + 2}