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Beliebt Rechnen >

y^{''}-y=(e^x)/(e^x)

Lösung

y^{^{''}} - y = \frac{e ^{x}}{e ^{x}}

Lösung

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

Schritte zur Lösung

y^{''} (x) - y = \frac{e ^{x}}{e ^{x}}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral from 1 to 2 of sqrt(4-x^2)

\int_{1}^{2} 4 - x^{2} d x

derivative of arctan(sin(3x))

\frac{d}{d x} (arctan (sin (3 x)))

d/(dt)(((8t)^2)/(10))

\frac{d}{d t} (\frac{( 8 t ) ^{2}}{10})

sum from n=1 to infinity of x/(2^n)

n = 1 \sum \infty \frac{x}{2 ^{n}}

(dy)/(dx)= x/(ye^{y+x^2)}

\frac{d y}{d x} = \frac{x}{y e ^{y + x^{2}}}