The order of the differential equation satisfying 1- x 4-1- y 4- ax 2-y 2 isa 1b 2c 3d 4

(a) 1 The order of a differential equation depends on the number of arbitrary constants in it. Since 1 x4+1 y4=ax2 y2 contains only 1 constant, the order of t ...

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Standard XII

Mathematics

Order of a Differential Equation

The order of ...

Question

The order of the differential equation satisfying $\sqrt{1 - x^{4}} + \sqrt{1 - y^{4}} = a (x^{2} - y^{2})$ is
(a) 1
(b) 2
(c) 3
(d) 4

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Solution

(a) 1

The order of a differential equation depends on the number of arbitrary constants in it.

Since $\sqrt{1 - x^{4}} + \sqrt{1 - y^{4}} = a (x^{2} - y^{2})$ contains only 1 constant, the order of the differential equation is 1.

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The order of the differential equation satisfying 1-x4+1-y4=ax2-y2 is (a) 1 (b) 2 (c) 3 (d) 4

(a) 1 The order of a differential equation depends on the number of arbitrary constants in it. Since 1-x4+1-y4=ax2-y2 contains only 1 constant, the order of the differential equation is 1.

The order of the differential equation satisfying $\sqrt{1 - x^{4}} + \sqrt{1 - y^{4}} = a (x^{2} - y^{2})$ is
(a) 1
(b) 2
(c) 3
(d) 4

(a) 1

The order of a differential equation depends on the number of arbitrary constants in it.

Since $\sqrt{1 - x^{4}} + \sqrt{1 - y^{4}} = a (x^{2} - y^{2})$ contains only 1 constant, the order of the differential equation is 1.