Q

# Help me understand! - Differential equations - JEE Main-4

Degree of differential equation

$\left ( \frac{d^{3}y}{dx^{3}} \right )^{5}+\left ( \frac{d^{3}y}{dx^{3}} \right )^{2}-\left ( \frac{d^{2}y}{dx^{2}} \right )^{10}= x$ is

• Option 1)

10

• Option 2)

3

• Option 3)

5

• Option 4)

2

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As we learnt

Degree of a Differential Equation -

Degree of Highest order differential coefficient appearing in it, provided it can be expressed as a polynomial equation in derivatives

- wherein

$\left ( \frac{dy}{dx} \right )^{2}+3\left ( \frac{dy}{dx} \right )-5=0$

Degree = 2

When it is already in form of polynomial equation in derivatives so degree of highest derivative i.e third derivative will be taken. So degree=5.

Option 1)

10

Option 2)

3

Option 3)

5

Option 4)

2

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