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Beliebt Rechnen >

y^{''}-3y^'+2y=11e^3x,y^1(0)=ex

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = 11 e^{3} x, y^{1} (0) = e x

Lösung

y = c_{1} e^{2 x} + c_{2} e^{x} + \frac{11 e ^{3} x}{2} + \frac{33 e ^{3}}{4}

Schritte zur Lösung

y^{''} (x) - 3 y^{'} (x) + 2 y = 11 e^{3} x

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{x} + \frac{11 e ^{3} x}{2} + \frac{33 e ^{3}}{4}

y = c_{1} e^{2 x} + c_{2} e^{x} + \frac{11 e ^{3} x}{2} + \frac{33 e ^{3}}{4}

Graph

Beliebte Beispiele

y^{''}+4y=8x^2+7x

y^{^{''}} + 4 y = 8 x^{2} + 7 x

y^{^{''}} - 4 y^{^{'}} = x

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

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

y^{''}-4y^'=e^{4x}

y^{^{''}} - 4 y^{^{'}} = e^{4 x}

y^{''}-11y^'+24y=280e^t

y^{^{''}} - 11 y^{^{'}} + 24 y = 280 e^{t}