Bihar BoardHindi Mediumकक्षा 12 साइन्सगणितअवकल समीकरण1 Mark
MCQ
समीकरण $\frac{d y}{d x}=\cos ^2 y$ का हल है-
A
$x+\tan y=c$
✓
$\tan y=x+c$
C
$\sin y+x=c$
D
$\sin y-x=c$
✓
Answer
Correct option: B.
$\tan y=x+c$
(B) $\tan y=x+c$ $\frac{d y}{d x}=\cos ^2 y$ $\Rightarrow \frac{1}{\cos ^2 y} d y=d x \Rightarrow \sec ^2 y d y=d x$ इसलिए $\int \sec ^2 y d y=\int d x$ $\tan y=x+c$ अतः सही विकल्प (B) है।
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