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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} + e^{x} cosh (x) + e^{- x} \cdot \int - e^{2 x} sinh (x) d x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} + e^{x} cosh (x) + e^{- x} \cdot \int - e^{2 x} sinh (x) d x

y = c_{1} e^{x} + c_{2} e^{- x} + e^{x} cosh (x) + e^{- x} \cdot \int - e^{2 x} sinh (x) d x

Beliebte Beispiele

y^{''}+16y=0.5sin(4t),y(0)=0.5

y^{^{''}} + 16 y = 0.5 sin (4 t), y (0) = 0.5

(D^2+9)y=81x^2+(14cos(x))

(D^{2} + 9) y = 81 x^{2} + (14 cos (x))

y^{'''}-6y^{''}+12y^'-8y=t^{-2}e^{2t}

y^{^{'''}} - 6 y^{^{''}} + 12 y^{^{'}} - 8 y = t^{- 2} e^{2 t}

y^{''}+y^'= 1/(x^2)

y^{^{''}} + y^{^{'}} = \frac{1}{x ^{2}}

y^{^{''}} - y = x - 1