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Beliebt Rechnen >

derivative of (dy/(dx))-y=0

Lösung

\frac{d}{d x} (\frac{d y}{d x}) - y = 0

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of e^{4x}sin(7x)

\int e^{4 x} sin (7 x) d x

integral of x^2cos(x/9)

\int x^{2} cos (\frac{x}{9}) d x

integral of (u^2)/(sqrt(u^2+25))

\int \frac{u ^{2}}{u ^{2} + 25} d u

derivative 3/5 x^{10}

d er i v a t i v e \frac{3}{5} x^{10}

integral of 1/((x+1/2)^2+3/4)

\int \frac{1}{( x + \frac{1}{2} ) ^{2} + \frac{3}{4}} d x