(d^2-3d+2)*y=e^{2x}

Lösung

(d^{2} - 3 d + 2) \cdot y = e^{2 x}

y = c_{1} e^{2 x} + c_{2} e^{x} + e^{2 x} x

Schritte zur Lösung

(d^{2} - 3 d + 2) y = e^{2 x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{x} + e^{2 x} x

y = c_{1} e^{2 x} + c_{2} e^{x} + e^{2 x} x

(d^{2} - 4) \cdot y = x \cdot sinh (x)

(d^{2} - 2 d + 3) \cdot y = cos (x) + x^{2}

(d^{3} + 3 d^{2} + 2 d) y = x

(d^{2} + 9) y = cos^{2} (x)

(d^{4} - 1) \cdot y = sin (x)