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Beliebt Rechnen >

y^{''}+6y^'-7y=e^{-x}

Lösung

y^{^{''}} + 6 y^{^{'}} - 7 y = e^{- x}

Lösung

y = c_{1} e^{x} + c_{2} e^{- 7 x} - \frac{1}{12} e^{- x}

Schritte zur Lösung

y^{''} (x) + 6 y^{'} (x) - 7 y = e^{- x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 7 x} - \frac{1}{12} e^{- x}

y = c_{1} e^{x} + c_{2} e^{- 7 x} - \frac{1}{12} e^{- x}

Graph

Beliebte Beispiele

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

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

f(x)+f^'(x)+f^{''}(x)=x^5+64

f (x) + f^{^{'}} (x) + f^{^{''}} (x) = x^{5} + 64

y^{''''}+9y^{''}=sin(3t)+te^{4t}+4

y^{^{''''}} + 9 y^{^{''}} = sin (3 t) + t e^{4 t} + 4

(d^2y)/(dx^2)-(dy)/(dx)-2y=4x^2

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - 2 y = 4 x^{2}

y^{'''}-4y^'=x+3cos(x)

y^{^{'''}} - 4 y^{^{'}} = x + 3 cos (x)