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Beliebt Rechnen >

y^{''}+7y^'=x+e^{2x}

Lösung

y^{^{''}} + 7 y^{^{'}} = x + e^{2 x}

Lösung

y = c_{1} + c_{2} e^{- 7 x} + \frac{x ^{2}}{14} - \frac{x}{49} + \frac{1}{18} e^{2 x}

Schritte zur Lösung

y^{''} (x) + 7 y^{'} (x) = x + e^{2 x}

Solve linear ODE:

y = c_{1} + c_{2} e^{- 7 x} + \frac{x ^{2}}{14} - \frac{x}{49} + \frac{1}{18} e^{2 x}

y = c_{1} + c_{2} e^{- 7 x} + \frac{x ^{2}}{14} - \frac{x}{49} + \frac{1}{18} e^{2 x}

Graph

Beliebte Beispiele

(D^2-1)y=x^2e^{(x^2)/2}

(D^{2} - 1) y = x^{2} e^{\frac{x ^{2}}{2}}

solvefor d,d(x)=(k(x)+18x-9)/(2x^2)

so l v e f or d, d (x) = \frac{k ( x ) + 18 x - 9}{2 x ^{2}}

y^{'''}+3y^{''}-4y=xe^x+14x

y^{^{'''}} + 3 y^{^{''}} - 4 y = x e^{x} + 14 x

y^{''}-2y^'=-6x^2+1

y^{^{''}} - 2 y^{^{'}} = - 6 x^{2} + 1

y^{''}+y^'+0.25y=e^x(sin(3x)-cos(3x))

y^{^{''}} + y^{^{'}} + 0.25 y = e^{x} (sin (3 x) - cos (3 x))