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Beliebt Rechnen >

7y^'+1y=8e^3x,y(0)=9

Lösung

7 y^{^{'}} + 1 y = 8 e^{3} x, y (0) = 9

Lösung

y = 8 e^{3} (x - 7) + \frac{9 + 56 e ^{3}}{e ^{\frac{x}{7}}}

Schritte zur Lösung

7 y^{'} (x) + 1 y = 8 e^{3} x

Solve linear ODE:

y = 8 e^{3} (x - 7) + \frac{9 + 56 e ^{3}}{e ^{\frac{x}{7}}}

y = 8 e^{3} (x - 7) + \frac{9 + 56 e ^{3}}{e ^{\frac{x}{7}}}

Graph

Beliebte Beispiele

f(x)=sin(3x)cos(5x)

f (x) = sin (3 x) cos (5 x)

d/(dt)((t+pi)/t cos(t))

\frac{d}{d t} (\frac{t + π}{t} cos (t))

limit as x approaches 0 of 1/(x^2)-1/x

x \to 0 lim (\frac{1}{x ^{2}} - \frac{1}{x})

integral of sec^6(3x)

\int sec^{6} (3 x) d x

y^{^{'}} - \frac{4 y}{t} = 5