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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{3 x} + c_{2} e^{x} + 3 x^{2} + 8 x + \frac{26}{3}

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 3 y = 9 x^{2}

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{x} + 3 x^{2} + 8 x + \frac{26}{3}

y = c_{1} e^{3 x} + c_{2} e^{x} + 3 x^{2} + 8 x + \frac{26}{3}

Graph

Beliebte Beispiele

y^{''}+6y^'-7y=21x^2-8x-30

y^{^{''}} + 6 y^{^{'}} - 7 y = 21 x^{2} - 8 x - 30

y^{''}-2y^'-3y=6x+4,y(0)=1,y^'(0)=-3

y^{^{''}} - 2 y^{^{'}} - 3 y = 6 x + 4, y (0) = 1, y^{^{'}} (0) = - 3

y^{''}+9y=5x,y(0)=1,y^'(0)=3

y^{^{''}} + 9 y = 5 x, y (0) = 1, y^{^{'}} (0) = 3

y^{''}-y^'-2y=cosh^2(t)

y^{^{''}} - y^{^{'}} - 2 y = cosh^{2} (t)

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

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