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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-4/9 y=x^3-2

y^{^{''}} - \frac{4}{9} y = x^{3} - 2

x^{''}-4x^'+4x=84t^2e^{2t}

x^{^{''}} - 4 x^{^{'}} + 4 x = 84 t^{2} e^{2 t}

y^{''}+25y=25,y(0)=1,y^'(0)=5

y^{^{''}} + 25 y = 25, y (0) = 1, y^{^{'}} (0) = 5

y^{''}-2y^'-3y=e^{4x}

y^{^{''}} - 2 y^{^{'}} - 3 y = e^{4 x}

y^{''}-6y^'+8y=3+e^{-2t}

y^{^{''}} - 6 y^{^{'}} + 8 y = 3 + e^{- 2 t}