Differential Equations Answers

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Under a certain condition , cane sugar in water is converted into dextrose at a rate proportional to the amount that is unconverted at any time . If 75 kg at t =; 0, 8 kg are converted during the first 30 minutes , find the amount converted in 2 hours .

Find the solution:


2(dS)/(dt) - S/t = 5t^3 S^3


Find the particular solution of:

1.) x^2 y' -2xy=x^4 +3; where y = 2 and x = 1


Find the complete solution of xdy + (x ^ 3 - xy ^ 2 - y) dy = 0

Find the complete solution of:



1.) (x ^ 2 y + y ^ 3 - y) d x + (x ^ 3 + xy ^ 2 + x) dy = 0

Non-Exact Differential Equations. Find the complete solution of ydx + (x + y ^ 2) dy = 0

Test for exactness and find the complete solution of y/(x-1) dx+ {ln(2x-2)+ 1/y}dy=0

y′′+ 4y= sin 5x+x−1

Find the particular solution of ydx - 4dy = x ^ 2 dy when x = 4 and y = 1


Solve The Differential Equation Y''+6y'+9y=16x^2

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