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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{1}{e ^{2} + 3 e + 2} e^{e x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{1}{e ^{2} + 3 e + 2} e^{e x}

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{1}{e ^{2} + 3 e + 2} e^{e x}

Graph

Beliebte Beispiele

y^{''}-5y^'+6y=2e^x

y^{^{''}} - 5 y^{^{'}} + 6 y = 2 e^{x}

(d^2-1)*y=x*sin(x)+x^2*e^x

(d^{2} - 1) \cdot y = x \cdot sin (x) + x^{2} \cdot e^{x}

solvefor d,d(x)= 1/(36(x-60)^2-100)

so l v e f or d, d (x) = \frac{1}{36 ( x - 60 ) ^{2} - 100}

(d^2+5d+4)y=sin^3(x)

(d^{2} + 5 d + 4) y = sin^{3} (x)

(d+4)y=x^2cos^2(x)

(d + 4) y = x^{2} cos^{2} (x)