Evaluate z=2x+5y at each corner: O(0,0)→0, A(7,0)→14, B(3,4)→26, C(0,2)→10. Maximum value is 26 at B(3,4).
Match List - I with List - II. Match the integrating factors :
| List - I (Differential Equation) | List - II (Integrating factor) |
|---|---|
| (A) dxdy+3y=e−2x | (I) x1 |
| (B) xdxdy+y=3x2 | (II) e−x |
| (C) xdxdy−y=3x2 | (III) x |
| (D) dxdy−y=x | (IV) e3x |
Choose the correct answer from the options given below :
Held on 30 May 2023 · Verified 13 Jul 2026.
(A)-(IV), (B)-(III), (C)-(I), (D)-(II)
(A)-(III), (B)-(IV), (C)-(I), (D)-(II)
(A)-(II), (B)-(III), (C)-(IV), (D)-(I)
(A)-(I), (B)-(II), (C)-(III), (D)-(IV)
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