(2x+3)y^'=y+(2x+3)^{1/2}

Lösung

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

y = \frac{1}{2} ln (2 x + 3) (2 x + 3)^{\frac{1}{2}} + c_{1} (2 x + 3)^{\frac{1}{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{1}{2} ln (2 x + 3) (2 x + 3)^{\frac{1}{2}} + c_{1} (2 x + 3)^{\frac{1}{2}}

y = \frac{1}{2} ln (2 x + 3) (2 x + 3)^{\frac{1}{2}} + c_{1} (2 x + 3)^{\frac{1}{2}}

\frac{\partial}{\partial x} (e^{- 2 y} sin (2 x))

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\frac{d}{d x} ((\frac{4 x ^{2}}{2 - x})^{3})

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d er i v a t i v e cos (x)