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Beliebt Rechnen >

2y^{''}-7y^'+5y=11-7x-16x^2+5x^3

Lösung

2 y^{^{''}} - 7 y^{^{'}} + 5 y = 11 - 7 x - 16 x^{2} + 5 x^{3}

Lösung

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

Schritte zur Lösung

2 y^{''} (x) - 7 y^{'} (x) + 5 y = 11 - 7 x - 16 x^{2} + 5 x^{3}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{^{''}} = y^{^{'}} + 2 x

y^{^{''}} + y^{^{'}} = 20

y^{''}+16y=64sin(x),y(0)=-0.5,y^'(0)=0

y^{^{''}} + 16 y = 64 sin (x), y (0) = - 0.5, y^{^{'}} (0) = 0

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

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

x^{''}-4x^'+4x=3sin(2t)

x^{^{''}} - 4 x^{^{'}} + 4 x = 3 sin (2 t)