The degree and order of differential equation d 2 y d x 2 2 - y - d y d x 1 2 is which of the following -

The correct option is B 4,2 ( d^ 2 y dx^ 2 )^ 2 =(y+ dy dx )^ 1/2 ⇒ ( d^ 2 y dx^ 2 )^ 4 dy dx y=0 order=2,degree=4 ...

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Standard XII

Mathematics

Solving Homogeneous Differential Equations

The degree an...

Question

The degree and order of differential equation ${(\frac{d^{2} y}{d x^{2}})}^{2} = {(y + \frac{d y}{d x})}^{\frac{1}{2}}$ is which of the following ?

4, 2

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2, 4

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3, 4

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4, 3

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Solution

The correct option is B $4, 2$
$(\frac{d^{2} y}{d x^{2}})^{2} = (y + \frac{d y}{d x})^{1 / 2} \Rightarrow (\frac{d^{2} y}{d x^{2}})^{4} - \frac{d y}{d x} - y = 0 o r d e r = 2, d e g r e e = 4$

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Similar questions

Q. Write the degree of the differential equation

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

Q. The degree of the differential equation

{(\frac{d^{2} y}{d x^{2}})}^{2} - (\frac{d y}{d x}) = y^{3}

, is
(a) 1/2
(b) 2
(c) 3
(d) 4

Q. The order and degree of the differential equation

y^{'} + (y^{''})^{2} = (x + y^{''})^{2}

are:

The order and degree of differential equation $[1 + {(\frac{d y}{d x})}^{2}] = \frac{d^{2} y}{d x^{2}}$ are
a) $2, \frac{3}{2}$
b) 2, 3
c) 2, 1
d) 3, 4

Q. If

A = {x ∶ x^{2} - 5 x + 6 = 0}, B = {2, 4}, C = {4, 5}

, then

A \times (B \cap C)

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The degree and order of differential equation (d2ydx2)2=(y+dydx)12 is which of the following ?

The correct option is B 4,2(d2ydx2)2=(y+dydx)1/2⇒(d2ydx2)4−dydx−y=0order=2,degree=4

The degree and order of differential equation ${(\frac{d^{2} y}{d x^{2}})}^{2} = {(y + \frac{d y}{d x})}^{\frac{1}{2}}$ is which of the following ?

The correct option is B $4, 2$
$(\frac{d^{2} y}{d x^{2}})^{2} = (y + \frac{d y}{d x})^{1 / 2} \Rightarrow (\frac{d^{2} y}{d x^{2}})^{4} - \frac{d y}{d x} - y = 0 o r d e r = 2, d e g r e e = 4$