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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y^'+5y=1-5x+8cos(x)-8sin(x)

y^{^{''}} + 4 y^{^{'}} + 5 y = 1 - 5 x + 8 cos (x) - 8 sin (x)

y^{''}+16y=4e^{2t}+4sin(2t)

y^{^{''}} + 16 y = 4 e^{2 t} + 4 sin (2 t)

x^{''}+x=acos(t)

x^{^{''}} + x = a cos (t)

y^{'''}+25y^'=10sin(5t)-4t^2

y^{^{'''}} + 25 y^{^{'}} = 10 sin (5 t) - 4 t^{2}

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

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