AP EAMCET · Maths · Differential Equations
The particular solution of the differential equation \(\frac{d y}{d x}=\sec y, y(0)=0\) is
- A \(x=\cos y\)
- B \(x=\sin y+q\)
- C \(y=\sin x\)
- D \(x=\sin y\)
Answer & Solution
Correct Answer
(D) \(x=\sin y\)
Step-by-step Solution
Detailed explanation
Given, differential equation, \(\frac{d y}{d x}=\sec y\) \(\begin{aligned} & \Rightarrow \int \cos y d y=\int d x \\ & \Rightarrow \sin y=x+c \\ & \therefore \quad y(0)=0 \\ & \Rightarrow c=0 \\ \end{aligned}\) \(\therefore\) The required solution of differential equation is…
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