AP EAMCET · Maths · Differential Equations
If \(f^{\prime}(x)=a \cos x+b \sin x\) and \(f^{\prime}(0)=4, f(0)=3, f\left(\frac{\pi}{2}\right)=5\), then \(\mathrm{f}(\mathrm{x})=\)
- A \(2 \cos x+4 \sin x+1\)
- B \(4 \cos x+2 \sin x+1\)
- C \(2 \cos x+3 \sin x+1\)
- D \(4 \cos x+\sin x+1\)
Answer & Solution
Correct Answer
(A) \(2 \cos x+4 \sin x+1\)
Step-by-step Solution
Detailed explanation
\(f^{\prime}(x)=a \cos x+b \sin x... (i)\) Given: \(f^{\prime}(0)=4, f(0)=3, f\left(\frac{n}{2}\right)=5\)…
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