AP EAMCET · Maths · Differential Equations
The general solution of \(\frac{d y}{d x}+y \tan x=2 x+x^2 \tan x\)
- A \(y-x^2=c \sec x\)
- B \(y \cos x=x^2 \sec x+c\)
- C \(y \sec x=x^2+c \cos x\)
- D \(y=x^2+c \cos x\)
Answer & Solution
Correct Answer
(D) \(y=x^2+c \cos x\)
Step-by-step Solution
Detailed explanation
Given differential equation, \(\because\) The differential equation is in linear form, so Integrating factor (I.F.) \(=e^{\int \tan x d x}=\sec x\) So, solution of given differential Eq. (i), is…
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