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Beliebt Rechnen >

xy^'+2y=2sin(x)

Lösung

x y^{^{'}} + 2 y = 2 sin (x)

Lösung

y = \frac{2 ( - x cos ( x ) + sin ( x ) )}{x ^{2}} + \frac{c _{1}}{x ^{2}}

Schritte zur Lösung

x y^{'} (x) + 2 y = 2 sin (x)

Solve linear ODE:

y = \frac{2 ( - x cos ( x ) + sin ( x ) )}{x ^{2}} + \frac{c _{1}}{x ^{2}}

y = \frac{2 ( - x cos ( x ) + sin ( x ) )}{x ^{2}} + \frac{c _{1}}{x ^{2}}

Graph

Beliebte Beispiele

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

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

integral of 2/(sqrt(100-4x^2))

\int \frac{2}{100 - 4 x ^{2}} d x

y^{^{'}} + y = 6 x

integral of (1/(sqrt(1+x^2)))

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

integral of 1/(x^2-10)

\int \frac{1}{x ^{2} - 10} d x