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Beliebt Rechnen >

(d^4-1)y=e^xcos(x)

Lösung

(d^{4} - 1) y = e^{x} cos (x)

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} cos (x) + c_{4} sin (x) - \frac{1}{5} e^{x} cos (x)

Schritte zur Lösung

(d^{4} - 1) y = e^{x} cos (x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} cos (x) + c_{4} sin (x) - \frac{1}{5} e^{x} cos (x)

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} cos (x) + c_{4} sin (x) - \frac{1}{5} e^{x} cos (x)

Graph

Beliebte Beispiele

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

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

(d^2+9)y=7e^{3x}+3x^2+4

(d^{2} + 9) y = 7 e^{3 x} + 3 x^{2} + 4

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

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

(d^2-13d+12)*y=x

(d^{2} - 13 d + 12) \cdot y = x

(d-1)^2*y=e^x*sec^2(x)tan(x)

(d - 1)^{2} \cdot y = e^{x} \cdot sec^{2} (x) tan (x)