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Beliebt Rechnen >

xy^'+y=ex

Lösung

x y^{^{'}} + y = e x

Lösung

y = \frac{e x}{2} + \frac{c _{1}}{x}

Schritte zur Lösung

x y^{'} (x) + y = e x

Solve linear ODE:

y = \frac{e x}{2} + \frac{c _{1}}{x}

y = \frac{e x}{2} + \frac{c _{1}}{x}

Graph

Beliebte Beispiele

sum from n=1 to infinity of (3n)/(n+1)

n = 1 \sum \infty \frac{3 n}{n + 1}

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

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

derivative of x^{2sin(x})

\frac{d}{d x} (x^{2 s i n (x)})

derivative f(x)=2pix^2

d er i v a t i v e f (x) = 2 π x^{2}

derivative f(x)=2x^2ln(2x)

d er i v a t i v e f (x) = 2 x^{2} ln (2 x)