The degree of following differential equation d 2 y - dx 23- e d y-d x-0 isa 1b 2c 3d not defined

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Standard XII

Mathematics

Degree of a Differential Equations

The degree of...

Question

The degree of following differential equation ${(\frac{d^{2} y}{d x^{2}})}^{3} + e^{\frac{d y}{d x}} = 0$ is

$(a) 1 (b) 2$
$(c) 3 (d) not defined$

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Solution

The given differential equation is not a polynomial equation in its derivative terms. Hence, its degree is not defined.
Ans: $(d)$

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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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(b) 2
(c) 1
(d) None of these

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The degree of following differential equation (d2ydx2)3+edydx=0 is (a) 1 (b) 2 (c) 3 (d) not defined

The given differential equation is not a polynomial equation in its derivative terms. Hence, its degree is not defined. Ans: (d)

The degree of following differential equation ${(\frac{d^{2} y}{d x^{2}})}^{3} + e^{\frac{d y}{d x}} = 0$ is

$(a) 1 (b) 2$
$(c) 3 (d) not defined$

The given differential equation is not a polynomial equation in its derivative terms. Hence, its degree is not defined.
Ans: $(d)$