What is expand (dy)/(x(2x-1)^2e^x+2y) ?

The solution to expand (dy)/(x(2x-1)^2e^x+2y) is (dy)/(4e^xx^3-4e^xx^2+e^xx+2y)

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expand (dy)/(x(2x-1)^2e^x+2y)

expand

\frac{d y}{x ( 2 x - 1 ) ^{2} e ^{x} + 2 y}

\frac{d y}{4 e ^{x} x ^{3} - 4 e ^{x} x ^{2} + e ^{x} x + 2 y}

Solution steps

\frac{d y}{x ( 2 x - 1 ) ^{2} e ^{x} + 2 y}

(2 x - 1)^{2} = 4 x^{2} - 4 x + 1

= \frac{d y}{e ^{x} x ( 4 x ^{2} - 4 x + 1 ) + 2 y}

Expand

x (4 x^{2} - 4 x + 1) e^{x} + 2 y : 4 e^{x} x^{3} - 4 e^{x} x^{2} + e^{x} x + 2 y

= \frac{d y}{4 e ^{x} x ^{3} - 4 e ^{x} x ^{2} + e ^{x} x + 2 y}

\frac{d}{d y} ((m) (2 x - 1))

4 π (x + 2)^{2}

A (1.5) y B (- 3, - 15)

\frac{( 156 + x ) ^{10}}{10}

\frac{x - 27}{x ( x - 3 )}

What is expand (dy)/(x(2x-1)^2e^x+2y) ?
The solution to expand (dy)/(x(2x-1)^2e^x+2y) is (dy)/(4e^xx^3-4e^xx^2+e^xx+2y)