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KCET2013MathematicsDifferential Equations

If m and n are order and degree of the differential equation (y^ )⁵+4 (y^ )³ y^ +y^ = x , then

Options

  1. Am=3, n=5
  2. Bm=3, n=1
  3. Cm=3, n=3
  4. Dm=3, n=2

Correct answer

D. m=3, n=2

Step-by-step solution

Given differential equation is, ( d² y d x² )⁵+4 ( d² y d x² )³ ( d³ y d x³ ) + ( d³ y d x³ )= x ( d² y d x² )⁵ ( d³ y d x³ )+4 ( d² y d x² )³+ ( d³ y d x³ )²= x ( d³ y d x³ ) Now, m= order = highest order derivative =3 and n= degree = power of highest order derivative =2

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