CSIR NET Mathematics 2024|ODE & PDE | 17 February 2024

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Question 1

The singular solution of the differential equation  is given by

• A2x²y² = –1
• B4x⁴y = – 1
• C2xy⁴ = –1
• D4x⁴y⁴ = –1

Question 2

The general solution of the system of differential equations

 is given

• A :
• B :
• C :
• D :

Question 3

The Differential equation with primitive y = A e^-x + B e^2x is

• A
• B
• C
• D

Question 4Multiple Correct Options

Let A be a 2 Â 2 matrix with real entries, Consider the linear system of ordinary differential equation give as under notation as  where x(t) = , pick out the cable from the following we  .

• A
• B
• CA =
• D

Question 5

Solve

• A
• B
• C
• D

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