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

प्रश्न

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

पर्याय

y = vx
v = yx
x = vy
x = v

MCQ

उत्तर

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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Methods of Solving First Order, First Degree Differential Equations - Homogeneous Differential Equations

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

Q 16 Q 15 Q 17

पाठ 9: Differential Equations - Exercise 9.5 [पृष्ठ ४०६]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12

पाठ 9 Differential Equations
Exercise 9.5 | Q 16 | पृष्ठ ४०६

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