If p and q are the order and degree of the differential equation y ( dy / dx )+ x 3 ( d 2 y / dx 2)+ xy = cos x, then

Question

If p and q are the order and degree of the differential equation y ( dy / dx )+ x 3 ( d 2 y / dx 2)+ xy = cos x, then (A) p < q (B) p = q (C) p > q (D) None of these

Tardigrade Admin · Accepted Answer

The given differential equation is y (d y/d x)+x3 (d2 y/d x2)+x y= cos x Its order is 2 and its degree is 1 . ∴ p =2 and q =1 Hence, p > q

Q. If $p$ and $q$ are the order and degree of the differential equation $y \frac{d y}{d x} + x^{3} \frac{d ^{2} y}{d x ^{2}} + x y = cos x$ , then

$p < q$

$p = q$

$p > q$

None of these

The given differential equation is
$y \frac{d y}{d x} + x^{3} \frac{d ^{2} y}{d x ^{2}} + x y = cos x$
Its order is 2 and its degree is 1 .
$∴ p = 2$ and $q = 1$
Hence, $p > q$

Q. If p and q are the order and degree of the differential equation ydxdy​+x3dx2d2y​+xy=cosx, then

p<q

p=q

p>q