A homogeneous differential equation of the form dy = h ( y ) can be solved by making the substitution y = vx v = yx x = vy x = v

class 12 maths differential equations

A homogeneous differential equation of the form $\cfrac{{dx}}{{dy}} = h\left( {\cfrac{x}{y}} \right)$ can be solved by making the substitution
• $y = vx$
• $v = yx$
• $x = vy$
• $x = v$

VAVidaara Admin Asked 9d ago 0 views 0 answers

📘 Differential Equations NCERT Ex.9.5,Q.16,Page 406 SA

A homogeneous differential equation of the form $\cfrac{{dx}}{{dy}} = h\left( {\cfrac{x}{y}} \right)$ can be solved by making the substitution

• $y = vx$

• $v = yx$

• $x = vy$

• $x = v$

VVidaara Team ✓ Verified solution NCERT & Exemplar

option c is correct

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