If dy dx +y =x , then (y-1) = - Vidyadip

MCQ

If $\sin\text{x}\frac{\text{dy}}{\text{dx}}+\text{y}\cos\text{x}=\text{x}\sin\text{x},$ then $(\text{y}-1)\sin\text{x}=$

A
$\text{c}-\text{x}\sin\text{x}$
B
$\text{c}+\text{x}\cos\text{x}$
✓
$\text{c}-\text{x}\cos\text{x}$
D
$\text{c}+\text{x}\sin\text{x}$

✓

Answer

Correct option: C.

$\text{c}-\text{x}\cos\text{x}$

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