CHEMISTRY – A

TUTE – 1, G1

                                                                                                                        M.M. 10

Qu. 1) d²y/dx² + 6dy/dx + 9y = 26e^-3x + 5e^2x                                                                   

Qu. 2) d²y/dx² + 4y = e^x + sin2x                                                         

Qu. 3) d²y/dx² + dy/dx – 2y = x + sin x                                                         

Qu. 4) Solve the following diff. eqn                                                      

            y” – 2y’ + 2y = x + e^x cos x

CHEMISTRY – A

TUTE – 1, G2

                                                                                                M.M. 10

Qu. 1) (D³ + 3D² - 4) y = 12e^-2x  + 9e^x                                        

Qu. 2) (D³ + 2D² + D) y = e^2x + x² +x                                                  

Qu. 3) (D² – 2D + 2) y = x + e^x cos x                                                  

Qu. 4) (D² + 4) y = sin x                                                                    

CHEMISTRY – A

TUTE – 2, G1

                                                                                                M.M. 10

Qu. 1) dy/dx + 2y tan x = sin x given that                                  

                      y=0, where x = п/3

Qu. 2) Solve (x²y² + xy +1) ydx + (x²y² – xy +1) xdy = 0                      

Qu. 3) d²y/dx² + 2dy/dx + 5y = e^2x sin x                                              

Qu. 4) Solve by the method of variation of parameter.                           

                     d²y/dx² – y = 2/1+ e^x

CHEMISTRY – A

TUTE – 2, G2

                                                                                                M.M. 10

Qu. 1) Solve (1+ e^x/y) dx + e^x/y (1 – x/y) dy = 0                                    

Qu. 2) Solve x² dy/dx = y (x + y)/2                                                      

Qu. 3) Solve d²y/dx² – 6dy/dx + 13y = 8(e^3x sin2x)                               

Qu. 4) d²y/dx² + y = sec x                                                                  

ECE – IV^th SEM

TUTE – 1 (G1 & G2)

                                                                                      M.M. 10

Qu. 1) Maximize                                                                                 

                            Z = 2x1 + x2 +3x3

           S. T.

                   X1 + x2 + 2x3 ≤ 5

                   2x1 + 3x2 + 4x3 = 12

                   x1, x2, x3 ≥ 0

Qu. 2) Solve the following Assignment problem                                     

           A      B       C       D      E       F

1        13      13      16      23      19      9

2        11      19      26      16      17      18

3        12      11      4       9       6       10

4        7       15      9       14      14      13

5        9       13      12      8       14      11