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Beliebt Rechnen >

y^{''}+7y^'=0,y(0)=1,y^'(0)=1

Lösung

y^{^{''}} + 7 y^{^{'}} = 0, y (0) = 1, y^{^{'}} (0) = 1

Lösung

y = 1 + \frac{1}{7} - \frac{1}{7} e^{- 7 t}

Schritte zur Lösung

y^{''} (t) + 7 y^{'} (t) = 0

Solve linear ODE:

y = 1 + \frac{1}{7} - \frac{1}{7} e^{- 7 t}

y = 1 + \frac{1}{7} - \frac{1}{7} e^{- 7 t}

Graph

Beliebte Beispiele

(dy)/(dx)=2yx+yx^2,y(-3)=1

\frac{d y}{d x} = 2 y x + y x^{2}, y (- 3) = 1

tangent h(x)= 1/(2sqrt(x)),\at x=4

t an g e n t h (x) = \frac{1}{2 x}, at x = 4

limit as x approaches-2 of 2x^2

x \to - 2 lim (2 x^{2})

integral of x^3sqrt(5+x^2)

\int x^{3} 5 + x^{2} d x

derivative sqrt(x+7)

d er i v a t i v e x + 7