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Beliebt Rechnen >

y^{''}-5y^'+6y=3x^2+5x

Lösung

y^{^{''}} - 5 y^{^{'}} + 6 y = 3 x^{2} + 5 x

Lösung

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x ^{2}}{2} + \frac{5 x}{3} + \frac{11}{9}

Schritte zur Lösung

y^{''} (x) - 5 y^{'} (x) + 6 y = 3 x^{2} + 5 x

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x ^{2}}{2} + \frac{5 x}{3} + \frac{11}{9}

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x ^{2}}{2} + \frac{5 x}{3} + \frac{11}{9}

Graph

Beliebte Beispiele

y^{''}+2y^'-3y=5e^{2x},y(0)=0,y^'(0)=a

y^{^{''}} + 2 y^{^{'}} - 3 y = 5 e^{2 x}, y (0) = 0, y^{^{'}} (0) = a

y^{''}+4y=sin^{22}(x)

y^{^{''}} + 4 y = sin^{22} (x)

y^{''}-3y^'=2-6x

y^{^{''}} - 3 y^{^{'}} = 2 - 6 x

y^{'''}-2y^{''}+y^'=1+xe^x

y^{^{'''}} - 2 y^{^{''}} + y^{^{'}} = 1 + x e^{x}

6y^{''}+4y^'-y=25

6 y^{^{''}} + 4 y^{^{'}} - y = 25