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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{5 x}{2} - \frac{5}{4}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{5 x}{2} - \frac{5}{4}

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{5 x}{2} - \frac{5}{4}

Graph

Beliebte Beispiele

y^{''}-6y^'+5y=3e^{2t},y(0)=2,y^'(0)=3

y^{^{''}} - 6 y^{^{'}} + 5 y = 3 e^{2 t}, y (0) = 2, y^{^{'}} (0) = 3

y^{'''}+4y^'=e^x+3sin(2x)+1

y^{^{'''}} + 4 y^{^{'}} = e^{x} + 3 sin (2 x) + 1

5y^{''}+6y^'+25y=4cos(2t)

5 y^{^{''}} + 6 y^{^{'}} + 25 y = 4 cos (2 t)

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

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

y^{''}-2y^'-7y=1e^{5t}

y^{^{''}} - 2 y^{^{'}} - 7 y = 1 e^{5 t}