Find the degree of the differential equation- d2xdy2-a2x-0

The correct option is A 1 given differential equation is d ^ 2 y d x ^ 2 + a ^ 2 x ^ 2 =0 This equation is in pure polynomial form containg no Tra ...

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Standard XII

Mathematics

Homogeneous Differential Equation

Find the degr...

Question

Find the degree of the differential equation: $\frac{d^{2} x}{d y^{2}} + a^{2} x = 0$

1

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None of these

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Solution

The correct option is A $1$
given differential equation is $\frac{d^{2} y}{d x^{2}} + a^{2} x^{2} = 0$
This equation is in pure polynomial form containg no Trancendental functions.
The power of the order term in the Differential equation is $1$ .
$∴$ Degree of the differential equation is $1$ .

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Similar questions

Q. The degree of the differential equation

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Q. Write the degree of the differential equation

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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
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State the order and degree of the given differential equation, if the order is a and degree is b, find a+b.

{[\frac{d^{2} x}{d t^{2}}]}^{3} + [\frac{d x}{d t}] - x t = 0

Q. The degree and the order of the differential equation

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are respectively:

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Find the degree of the differential equation: d2xdy2+a2x=0

The correct option is A 1given differential equation is d2ydx2+a2x2=0This equation is in pure polynomial form containg no Trancendental functions.The power of the order term in the Differential equation is 1.∴ Degree of the differential equation is 1.

Find the degree of the differential equation: $\frac{d^{2} x}{d y^{2}} + a^{2} x = 0$

The correct option is A $1$
given differential equation is $\frac{d^{2} y}{d x^{2}} + a^{2} x^{2} = 0$
This equation is in pure polynomial form containg no Trancendental functions.
The power of the order term in the Differential equation is $1$ .
$∴$ Degree of the differential equation is $1$ .