In which of the following differential equation degree is not defined ?

Question

In which of the following differential equation degree is not defined ? (A)  (d2 y/d x2)+3((d y/d x))2=x ln ((d2 y/d x2)) (B) ((d2 y/d x2))2+((d y/d x))2=x sin ((d2 y/d x2)) (C) x= sin ((d y/d x)-2 y),|x|<1 (D) x-2 y=ℓ n((d y/d x))

Tardigrade Admin · Accepted Answer

x= sin ((d y/d x)-2 y) ⇒ (d y/d x)-2 y= sin -1 x x-2 y= log ⇒ (d y/d x)=ex-2 y

Q. In which of the following differential equation degree is not defined ?

$\frac{d ^{2} y}{d x ^{2}} + 3 (\frac{d y}{d x})^{2} = x ln (\frac{d ^{2} y}{d x ^{2}})$

$(\frac{d ^{2} y}{d x ^{2}})^{2} + (\frac{d y}{d x})^{2} = x sin (\frac{d ^{2} y}{d x ^{2}})$

$x = sin (\frac{d y}{d x} - 2 y), ∣ x ∣ < 1$

$x - 2 y = ℓ n (\frac{d y}{d x})$

$x = sin (\frac{d y}{d x} - 2 y) \Rightarrow \frac{d y}{d x} - 2 y = sin^{- 1} x$
$x - 2 y = lo g \Rightarrow \frac{d y}{d x} = e^{x - 2 y}$

Q. In which of the following differential equation degree is not defined ?

dx2d2y​+3(dxdy​)2=xln(dx2d2y​)

(dx2d2y​)2+(dxdy​)2=xsin(dx2d2y​)

x=sin(dxdy​−2y),∣x∣<1

x−2y=ℓn(dxdy​)

x=sin(dxdy​−2y)⇒dxdy​−2y=sin−1x x−2y=log⇒dxdy​=ex−2y

$\frac{d ^{2} y}{d x ^{2}} + 3 (\frac{d y}{d x})^{2} = x ln (\frac{d ^{2} y}{d x ^{2}})$

$(\frac{d ^{2} y}{d x ^{2}})^{2} + (\frac{d y}{d x})^{2} = x sin (\frac{d ^{2} y}{d x ^{2}})$

$x = sin (\frac{d y}{d x} - 2 y), ∣ x ∣ < 1$

$x - 2 y = ℓ n (\frac{d y}{d x})$

$x = sin (\frac{d y}{d x} - 2 y) \Rightarrow \frac{d y}{d x} - 2 y = sin^{- 1} x$
$x - 2 y = lo g \Rightarrow \frac{d y}{d x} = e^{x - 2 y}$