The solution of the differential equation x dy - dx - y - x 2-3 x -2 isA- x y-x3-3-3-2 x2-2 x-cB- x y-x4-4-x3-x2-cC- x y-x4-44-x3-3-x2-cD- x y-x4-4-x3-x2-c x

The correct option is A x dy/dx + y = x^2 + 3x + 2 ⇒dy/dx + y/x = x + 3 2/x Here P = 1/x, Q = x + 3 + 2/x, therefore I.F. = e^∫ 1/xdx = x Now solve it. ...

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Byju's Answer

Standard XII

Mathematics

Solving Linear Differential Equations of First Order

The solution ...

Question

The solution of the differential equation $x \frac{d y}{d x} + y = x^{2} + 3 x + 2$ is

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Solution

The correct option is A

$x \frac{d y}{d x} + y = x^{2} + 3 x + 2 \Rightarrow \frac{d y}{d x} + \frac{y}{x} = x + 3 \frac{2}{x}$
Here $P = \frac{1}{x}, Q = x + 3 + \frac{2}{x},$ therefore
$I . F . = e^{\int \frac{1}{x} d x} = x$
Now solve it.

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The solution of the differential equation x dydx+y=x2+3x+2 is

The correct option is A x dydx+y=x2+3x+2⇒dydx+yx=x+32x Here P=1x,Q=x+3+2x, therefore I.F.=e∫ 1xdx=x Now solve it.

The solution of the differential equation $x \frac{d y}{d x} + y = x^{2} + 3 x + 2$ is

The correct option is A

$x \frac{d y}{d x} + y = x^{2} + 3 x + 2 \Rightarrow \frac{d y}{d x} + \frac{y}{x} = x + 3 \frac{2}{x}$
Here $P = \frac{1}{x}, Q = x + 3 + \frac{2}{x},$ therefore
$I . F . = e^{\int \frac{1}{x} d x} = x$
Now solve it.