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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} - e^{x} ln (cos (x))

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} - e^{x} ln (cos (x))

y = c_{1} e^{x} + c_{2} x e^{x} - e^{x} ln (cos (x))

Graph

Beliebte Beispiele

y^{''}-4y^'+4y=4(x+1)

y^{^{''}} - 4 y^{^{'}} + 4 y = 4 (x + 1)

y^{''}-6y+9y=e^{-2x}sin(3x)

y^{^{''}} - 6 y + 9 y = e^{- 2 x} sin (3 x)

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

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

y^{''''}+2y^{''}+y=9t+6

y^{^{''''}} + 2 y^{^{''}} + y = 9 t + 6

y^{''''}+2y^{''}+y=9t+2

y^{^{''''}} + 2 y^{^{''}} + y = 9 t + 2