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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} e^{x} + x + \frac{7}{2}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{x} + x + \frac{7}{2}

y = c_{1} e^{2 x} + c_{2} e^{x} + x + \frac{7}{2}

Graph

Beliebte Beispiele

y^{''}+5y^'=x-2-3e^{2x}

y^{^{''}} + 5 y^{^{'}} = x - 2 - 3 e^{2 x}

x^{''}+3x^'+33x=8cos(5t)

x^{^{''}} + 3 x^{^{'}} + 33 x = 8 cos (5 t)

x^{''}+16x=cos(4t)

x^{^{''}} + 16 x = cos (4 t)

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

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

y^{''}+4y=-12sin(2x),y(0)=1.8,y^'(0)=5

y^{^{''}} + 4 y = - 12 sin (2 x), y (0) = 1.8, y^{^{'}} (0) = 5