What is the answer to solvefor y,x^2y+2xy=e^{3x} ?

The answer to solvefor y,x^2y+2xy=e^{3x} is y=(e^{3x})/(x(x+2));\quad x\ne 0,x\ne-2

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solvefor y,x^2y+2xy=e^{3x}

solve for

y, x^{2} y + 2 x y = e^{3 x}

y = \frac{e ^{3 x}}{x ( x + 2 )}; x \neq = 0, x \neq = - 2

Solution steps

x^{2} y + 2 x y = e^{3 x}

Factor

x^{2} y + 2 x y : y x (x + 2)

y x (x + 2) = e^{3 x}

Divide both sides by

x (x + 2); x \neq = 0, x \neq = - 2

y = \frac{e ^{3 x}}{x ( x + 2 )}; x \neq = 0, x \neq = - 2

4 x - 9 = x

25 x = 64 + 9 x

x, y + 4 = 2 (x - 3)

x, 2 x + A = A x + 4

lo g_{81} (27) = \frac{3}{4}

What is the answer to solvefor y,x^2y+2xy=e^{3x} ?
The answer to solvefor y,x^2y+2xy=e^{3x} is y=(e^{3x})/(x(x+2));\quad x\ne 0,x\ne-2