The degree and order of the differential equation d y-d x-1-d y-d x1-3 isA- 1 and 3B- 3 and 1C- 1 and 1D- 3 and 3

The correct option is B 3 and 1Given D.E dy/dx = (1 + dy/dx)^1/3 ⇒ nbsp;(dy/dx)^3 = 1 + dy/dx Hence, the degree = 3 and order = 1 ...

You visited us 6 times! Enjoying our articles? Unlock Full Access!

Degree of a Differential Equations

The degree an...

Question

The degree and order of the differential equation $\frac{d y}{d x} = {(1 + \frac{d y}{d x})}^{\frac{1}{3}}$ is

1

and

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3

and

1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1

and

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3

and

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

x y \frac{d^{3} y}{d x^{3}} + x \frac{d^{2} y}{d x^{2}} - y \sqrt{\frac{d y}{d x}} = 0

\frac{d y}{d x} + y = \frac{1}{\frac{d y}{d x}}

_{e} [\frac{d y}{d x} - \frac{d^{3} y}{d x^{3}}] = l n [\frac{d^{5} y}{d x^{5}} + 1]

{[(\frac{d y}{d x})^{1 / 3} + y]}^{2} = \frac{d^{2} y}{d x^{2}}

y = 1 + {(\frac{d y}{d x})}^{1} + \frac{1}{2!} {(\frac{d y}{d x})}^{2} + \frac{1}{3!} {(\frac{d y}{d x})}^{3} + . . . . .

\frac{d^{2} y}{d x^{2}} = x l o g (\frac{d y}{d x})

\frac{d^{2} y}{d x^{2}} = \sqrt[3]{1 + {(\frac{d y}{d x})}^{2}}

{[1 + {(\frac{d y}{d x})}^{2} + sin (\frac{d y}{d x})]}^{3 / 4} = \frac{d^{2} y}{d x^{2}}

Join BYJU'S Learning Program