Degree of the differential equation $e^{d y / d x} = x$ is

1

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2

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3

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None of these

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Solution

The correct option is A $1$
Given that $e^{d y / d x} = x$
On taking log on both sides, we get
$\frac{d y}{d x} = log x$
$∴$ Degree is $1$

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Similar questions

Q. Particular solution of differential equation

e^{\frac{d y}{d x}} = x; y (1) = 3; x > 0

is ___________.

Q. Solve the differential equation

e^{d y / d x} = x + 1

given thet when

x = 0, y = 3.

Q. The degree of following differential equation

{(\frac{d^{2} y}{d x^{2}})}^{3} + e^{\frac{d y}{d x}} = 0

(a) 1 (b) 2

(c) 3 (d) not defined

Q. The degree of the differential equation

x = 1 + (\begin{matrix} \frac{d y}{d x} \end{matrix}) + \frac{1}{2!} {(\begin{matrix} \frac{d y}{d x} \end{matrix})}^{2} + \frac{1}{3!} {(\begin{matrix} \frac{d y}{d x} \end{matrix})}^{3} + \dots

The degree of the differential equation ${(\frac{d^{2} y}{d x^{2}})}^{3} + {(\frac{d y}{d x})}^{2} + s i n (\frac{d y}{d x}) + 1 = 0$ is
(a) 3
(b) 2
(c) 1
(d) None of these

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Degree of the differential equation edy/dx=x is

The correct option is A 1Given that edy/dx=xOn taking log on both sides, we getdydx=logx∴ Degree is 1

Degree of the differential equation $e^{d y / d x} = x$ is

The correct option is A $1$
Given that $e^{d y / d x} = x$
On taking log on both sides, we get
$\frac{d y}{d x} = log x$
$∴$ Degree is $1$