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Beliebt Rechnen >

derivative of dy/(dx)-a^2y+b=0

Lösung

\frac{d}{d x} \frac{d y}{d x} - a^{2} y + b = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - a^{2} y + b = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

limit as x approaches infinity of (45)/x

x \to \infty lim (\frac{45}{x})

fläche y=x+1,y=0,x=0,x=2

a re a y = x + 1, y = 0, x = 0, x = 2

d/(dθ)(cos(2θ))

\frac{d}{d θ} (cos (2 θ))

derivative of 1/3*x^3

\frac{d}{d x} (\frac{1}{3} \cdot x^{3})

limit as t approaches 0 of 1/2 e^{-2t}

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