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A homogeneous differential equation of the from dxdy=h(xy) can be solved by making the substitution. - Mathematics

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Question

A homogeneous differential equation of the from `dx/dy = h (x/y)` can be solved by making the substitution.

Options

  • y = vx

  • v = yx

  • x = vy

  • x = v

MCQ
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Solution

x = vy

Explanation:

By substituting x = vy, where `v = x/y`, the differential equation `dx/dy = h (x/y)` is transformed into a separable from, making it easier to solve.

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Chapter 9: Differential Equations - Exercise 9.5 [Page 406]

APPEARS IN

NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 9 Differential Equations
Exercise 9.5 | Q 16 | Page 406

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