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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x ^{2}}{4} - \frac{1}{8} + \frac{2}{5} e^{x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x ^{2}}{4} - \frac{1}{8} + \frac{2}{5} e^{x}

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x ^{2}}{4} - \frac{1}{8} + \frac{2}{5} e^{x}

Graph

Beliebte Beispiele

y^{''}+81y=2sin(x)

y^{^{''}} + 81 y = 2 sin (x)

y^{''}+8y^'+1/2 y=10sin(4x)

y^{^{''}} + 8 y^{^{'}} + \frac{1}{2} y = 10 sin (4 x)

y^{''}+3y^'+2y=\H(2)

y^{^{''}} + 3 y^{^{'}} + 2 y = H (2)

y^{''}-10y^'+25y=75t+295

y^{^{''}} - 10 y^{^{'}} + 25 y = 75 t + 295

y^{''}+2y^'+5y=3e^{2x},y(0)=1,y^'(0)=1

y^{^{''}} + 2 y^{^{'}} + 5 y = 3 e^{2 x}, y (0) = 1, y^{^{'}} (0) = 1