WebQuestion: Ulug 5 LUT dy to X. Determine whether the given First order ditterential equation is linear (y?-1) dx + x dy; Thy, in x * divide both by dy = lys 1) dx + x = 0 = ls_ unear in x * divide both by da fy? 1) dx + xy dy = 0 => Y2-1 + x dy = 0 - dx dx --> y2 + x dy v TS non linear in y c. verity the indicated tunction is an xplict solution 04 the given du zerer WebThe given differential equation is - thy = 3 We can write it as 13 dy - thy = 3 dt Divide throughout by to, we get , dy - _ 4 = 3 at t t 3 Now , it is of the form , dy tly = Q doc. Here , P = -_ Q = + C y = Ct- J t 2 i ) Now, it is given that, y ( 1 ) = 5 Putting this value in ;) neg. 5 = C- 12 C-1 = 5 C = 6 Put c= 6 in y = 6 t - 1 + 2 This is ...
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6. (10 points) Using any method you like, please find the...
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