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GROUP 2( gatdula GRP)

GROUP 2( gatdula GRP) - SEMESTRAL PROBLEM SET GENERAL...

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SEMESTRAL PROBLEM SET : GENERAL DIRECTIONS 1. Solve the Problem Sets below and submit them on 1. : , - . 3 00 PM October 20 2010 deadline of soft copy submission Send to . 2. : , . 9 00 am October 21 2010 deadline of hardcopy submission at BET 104 The . hardcopy must be enclosed in a YELLOW ENVELOP . The aforementioned dates are strictly observed Late submission of Problem Sets shall be not entertained which automatically . . graded 0 00 2. , Considered as PLATES in the grades computation these GROUP WORK Problem Sets shall also be credited as # QUIZ 02 . Each item is worth 1 POINT but a - - RIGHT MINUS WRONG . . ( , type ALL must be computerized using WORD 2007 or better version In the INSERT icon . ) , use the EQUATION icon to input your equations and data To ease your work I will send you on , OCT 10 2010 the . sample formats in encoding 3. !!!!!!!! Warning Submission of these Problem Sets as a mere requirement in the ELGA does . ( ……. “ ”) NOT guarantee a student to PASS But The end justifies the mean 4. . GRADES shall be submitted online on Oct 24 5. Enjoy your Semestral Break : SET 1 VARIABLE SEPARABLE : DIRECTIONS Obtain the Solution of the following DE 1. - = cos x cos y dx sin x sin y dy 0 2. = + ( ) dxdt gtsinβ C sliding Motion down an inclined plane 3. = ( + ) dr b sin ø dr r cos ø dø 4. 2xy 3 - ( - ) dx y 1 e - x = dy 0 5. = y' 2y sec x 6. = + 2xyy' 1 y 2 ; = , = when x 2 y 3 . 7 8. : SET 2 HOMOGENEOUS DIFFERENTIAL EQUATION 9. : DIRECTIONS Specify the General and Particular solutions of the following DE if the initial conditions , = = are not given use x 2 and y 3 10. ( ) + ( – ) = 3v u du 2 v u dv 0 11. 2 e / y x ( + ) / xdy ydx x 2 = 0 12. 3x 2 = y' 4x 2 + + 7xy 2y 2 13. z 2 + ( + ) = dx x x z dz 0 14. ( + ) + ( - ) = ; = , = - x y dx x y dy 0 when x 1 y 2 15. - ( xy dx x 2 + y 2 ) = ; = , = dy 0 when x 1 y 2 16 17. : - SET 3 EXACT AND NON EXACT DIFFERENTIAL EQUATION 18. : DIRECTIONS . = = Specify the General and Particular solutions of the following DE Use x 2 and y 3 19. ( + ) = ey 2 dx x dy 0 20. ( + ) + = y2 2x2 1 dx 2xy dy 0 21. - + - = 4y y22x dx 2x ydy 0 22. + - + + = 32xy2 2ylny 2y dx x2y xlnydy 0 23. : SET 4 BY INSPECTION 24. : DIRECTIONS Specify the General and Particular solutions of the following DE if the initial conditions , = = are not given use x 2 and y 3 25. + - - = y21 xy dx xy xy 1 dy 0 26. + + - + = x3y3dx xy 1 xy 1x2y2 1dy 0 27. [ - ] + [ + ] = y y2cosxy exy dx x y2cosxy exy dy 0 28. = ( ) x3y' x2 y csc xy 29. = + 2xy3 y' x2 y4 30. - + + = y x3sinxy 4y dx x x3sinxy 4y dy 0

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31. + - + + = y x2 y2dx x x2 xy y2 dy 0 32. : SET 5 LINEAR DE 33. : DIRECTIONS Specify the General and Particular solutions of the following DE 34. ( + ) - ( – ) = , ( , ) y 2 dx x y dy 0 at 2 1 35. = + y' x 4y cot 2x 36. = ( 2y dx x 2 )( ) , ( , ) 4 dx dy at 2 2 37. + ( – ) = , = = u dx 1 3u x du 3u du at u 4 and x 2 38. / + = dy dx my c 1 e mx , where c 1 and m are constants 39. = + y' 1 3y tan x 40. = ( – ) ( , ) Find the solution y'
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GROUP 2( gatdula GRP) - SEMESTRAL PROBLEM SET GENERAL...

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