Observe the following statements A:Interating factor of $\frac{dy}{dx} + y = x^{2}$ is $e^{x}$ R: Integrating factor of $\frac{dy}{dx} + P(x)y = Q(x)$ is $e^{\int_{}^{}{P(x)dx}}$ Then, the true statement among the following is

Question

Dr. Abubacker · Accepted Answer

(c)
Given, $\frac{dy}{dx} + y = x^{2}$
$	herefore$ $IF = e^{\int_{}^{}{1\ \ dx}} = e^{x}$
$\frac{dy}{dx} + P(x)y = Q(x)$
$	herefore$ $IF = e^{\int_{}^{}{P(x)dx}}$
$	herefore$ Both statements A and B are true and $R \Rightarrow A$

Q. Observe the following statements A:Interating factor of $\frac{dy}{dx} + y = x^{2}$ is $e^{x}$ R: Integrating factor of $\frac{dy}{dx} + P(x)y = Q(x)$ is $e^{\int_{}^{}{P(x)dx}}$ Then, the true statement among the following is

Explanation

Reviewed by Dr. Abubacker

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