Posted: January 18th, 2024
Wayne State University-MATH 750-If the function of (x) is polynomial of degree
PART Aa. If the function of (x) is polynomial of degree n, the trial solution for theparticular integral should also be a polynomial of degree n. Prove thisstatement by use the differential equation below.(d2y /dx2 ) - (4dy/dx) +3y =9x+6b. Prove the function of x in (d2y /dx2 )-(4dy/dx) + 3y=10e-2x is an exponentialfunctionPART BA man who can row at 5knots in still water intends to travel due east, adistance of 8 nautical miles. A current of 8 knots is flowing from a directionN600W.Calculate a)the course he must set to reach his destination in leasttime, (b)the ground speed, (c)the time taken to complete the journey.PART CDifferentiate {√ (sinx)}/ {(2x+1)3}
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