class 12 maths differential equations

The order and degree of differential equation
${\left( {\frac{{{d^3}y}}{{d{x^3}}}} \right)^2} - 3\frac{{{d^2}y}}{{d{x^2}}} + 2{\left( {\frac{{dy}}{{dx}}} \right)^4} = {y^4}$ are

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📘 Differential Equations NCERT EXEMP.Q.67,Page.200 MCQ 1 mark

The order and degree of differential equation
${\left( {\frac{{{d^3}y}}{{d{x^3}}}} \right)^2} - 3\frac{{{d^2}y}}{{d{x^2}}} + 2{\left( {\frac{{dy}}{{dx}}} \right)^4} = {y^4}$ are

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

Given that,

${\left( {\frac{{{d^3}y}}{{d{x^3}}}} \right)^2} - 3\frac{{{d^2}y}}{{d{x^2}}} + 2{\left( {\frac{{dy}}{{dx}}} \right)^4} = {y^4}$

$\therefore \quad$

Order $= 3$

and degree $= 2$

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