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Beliebt Rechnen >

x^2y^'+2xy=25cos^2(x)

Lösung

x^{2} y^{^{'}} + 2 x y = 25 cos^{2} (x)

Lösung

y = \frac{25 ( 2 x + sin ( 2 x ) )}{4 x ^{2}} + \frac{c _{1}}{x ^{2}}

Schritte zur Lösung

x^{2} y^{'} (x) + 2 x y = 25 cos^{2} (x)

Solve linear ODE:

y = \frac{25 ( 2 x + sin ( 2 x ) )}{4 x ^{2}} + \frac{c _{1}}{x ^{2}}

y = \frac{25 ( 2 x + sin ( 2 x ) )}{4 x ^{2}} + \frac{c _{1}}{x ^{2}}

Graph

Beliebte Beispiele

tangent (-8x)/(x^2+1)

t an g e n t \frac{- 8 x}{x ^{2} + 1}

inverselaplace 5/(s(s^2+4s+5))

in v erse l a pl a ce \frac{5}{s ( s ^{2} + 4 s + 5 )}

integral of (6x+7)/((x+2)^2)

\int \frac{6 x + 7}{( x + 2 ) ^{2}} d x

integral of 1/(x(ln(x))^3)

\int \frac{1}{x ( ln ( x ) ) ^{3}} d x

y^{^{'}} = y (y + 1) x