homogenous
v((2v^2) u -3) du + (3u^2) (v^2) - 3u + 4v) dv = 0
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Differential Calculus
DE
y' = (x + xy^2)/4y
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equations
ydx = {(e^ (3x) + 1)} dy
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Differential Equations: Population of a city in 1990
The topic is Population Growth, Decay and Investment. Somebody show the comple solution please.
A city has been found to have a population that triples every four years. If the city's population is one million in 2010, how many people were there in 1990?
The answer is 4,116.
detailed solution please? total energy of rotating rod
the rod is 10ft long weighing 20lbs. if it revolves through one end at 2rps, find the total energy.
Differential Equation: y' = 2(3x + y)^2 - 1
How can i solve this problem y' = 2(3x+y)2-1 when x = 0, y =0. Can someone show me the solution ?
DE exact equations: (3 + y + 2y^2 sin^2 x) dx + (x + 2xy - y sin 2x) dy = 0
(3 + y + 2y^2 sin ^ 2 ( x) ) dx + ( x + 2xy - y sin 2x) dy = 0
DE Order one: (xy^2 + x - 2y + 3) dx + x^2 ydy = 2(x + y) dy
(xy^2 + x - 2y + 3) dx + x^2 ydy = 2(x+y) dy
equations of order one: (1 - xy)^2 dx + [ y^2 + x^2 (1 - xy)^(-2) ] dy = 0
(1 - xy ) ^ 2 (dx) + [ y^2 + x^2 ( 1 - xy ) ^ -2 ] dy =0
DE: 2xy dx + (y^2 - x^2) dy = 0
2xydx + ( y^2 - x^2 ) dy = 0
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