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Beliebt Rechnen >

x^2y^'+4/3 xy=-4cos(3x)y^{-1/2}

Lösung

x^{2} y^{^{'}} + \frac{4}{3} x y = - 4 cos (3 x) y^{- \frac{1}{2}}

Lösung

y = 3 \frac{4 sin ^{2} ( 3 x ) - 4 c _{1} sin ( 3 x ) + c _{1}^{2}}{x ^{4}}

Schritte zur Lösung

x^{2} y^{'} (x) + \frac{4}{3} x y = - 4 cos (3 x) y^{- \frac{1}{2}}

Solve Bernoulli ODE:

y = 3 \frac{4 sin ^{2} ( 3 x ) - 4 c _{1} sin ( 3 x ) + c _{1}^{2}}{x ^{4}}

y = 3 \frac{4 sin ^{2} ( 3 x ) - 4 c _{1} sin ( 3 x ) + c _{1}^{2}}{x ^{4}}

Graph

Beliebte Beispiele

limit as x approaches 1+of 1/(x^2-1)

x \to 1 + lim (\frac{1}{x ^{2} - 1})

y^{''}-4y=0,y(0)=0,y^'(0)=1

y^{^{''}} - 4 y = 0, y (0) = 0, y^{^{'}} (0) = 1

tangent f(x)= 4/(1+x^2),(1,2)

t an g e n t f (x) = \frac{4}{1 + x ^{2}}, (1, 2)

inverselaplace (3s+4)/(s^2+2)

in v erse l a pl a ce \frac{3 s + 4}{s ^{2} + 2}

limit as x approaches 0 of x^2+3x-6

x \to 0 lim (x^{2} + 3 x - 6)