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Vijay posted an Question
October 04, 2020 • 16:54 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Ode MCQ type kindly show your solutions.

ODE MCQ dy 4. lf y,) and y,(x) are two solutions of the diferen tial equaton+ f(X)y = r(x), then y,)+ y,) ax is a solution of. dy df(X)y = 2r(x) dy df(yx = 2r(x) (A) (B) dx Ox (C) f(x)y 4r(x) (D) None of these Ox What are the order and degree respectively of the diferential equation g 0? 5. (A) 1, 4 (B) 4,1 (C) 4, 4 (D) 1,1

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    Jagat Chaudhary

    Vijay, after differentiation you can easily see that order is 4 because d^4(y)/dx^4 is present and degree is the highest power of highest differential coefficient. for example when you solve d/dx (y^2) , you get 2y dy/dx. similarly here also, due to chain rule, d^4(y)/dx^4 will also have power one.

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    Jagat Chaudhary best-answer

    please check image for step by step solution

    cropped4011608366674805119.jpg
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    are f(x) and r(x) curves here in DE in 2D plane?

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    f(x) and r(x) are expressions of x only.

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    Jagat Chaudhary Best Answer

    please check image for step by step solution. and feel free to ask anything. Jagat Chaudhary Eduncle expert (MA)

    cropped8727093670179716785.jpg
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    For Q no. 4 option A should have been the right answer it was a typo from your side I guess, Thank you Jagat Sir.

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    in the 4th question what the DE telling?

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