July 2016

Differential Equations

3y-2yx^2 [ 1 + (ln (2x^3 / 3y^2))^2 ]dx - 2xdy =0

Differential Equations

How can we simplify ln(9m^2 n -mn^3) +x +y = c ?

Differential Equation: [ e^(2y) - y cos (xy) ] dx - y(1 - x^2) dy = 0

Please help me again to solve this.

(e2y-ycosxy)dx-y(1-x2)dy=0

Sydney Sales's picture

exact DE: [ 2x + y cos (x^2) - 2xy + 1 ] dx + [ sin (x^2) - x^2 ] dy = 0

[ 2x + y cos (x^2) - 2xy + 1 ] dx + [ sin (x^2) - x^2 ] dy = 0

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DE: 2xy dx + (y^2 + x^2) dy = 0

2xydx + ( y^2 + x^2 ) dy = 0

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DE: 2xy dx + (y^2 - x^2) dy = 0

2xydx + ( y^2 - x^2 ) dy = 0

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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

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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

EdcelJames Delarosa's picture

More Topics on Dynamics

Please upload more examples and answers on Dynamics sirs maam Thanks in advance

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 ?

Juny Geraldizo Patierez's picture

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.

Kevin Garabiles's picture

Engineering Mechanics -Dynamics

( PASAGOT NAMAN PO ASSIGNMENT LANG PO HINDI KO TALAGA MASAGOT,, SALAMAT NG MARAMI.)An automobile is to travel a distance from A to B of 540m in exactly 4seconds. The auto accelerates and decelerates at 1.8 m/s^2, starting from rest A to rest B find velocity, maximum speed.

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.

Joshua John Lopez Julio's picture

Angle of Rotation using area moment method

Do you have any sample problem in solving for the angle of rotation in the deflection of the beam at any point using area moment method? Thanks :)

Flora Mae Ramirez Quiño's picture

Integrating factors found by inspection

y(2-3xy)dx-xdy=0

Sydney Sales's picture

equations

ydx = {(e^ (3x) + 1)} dy

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DE

y' = (x + xy^2)/4y

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homogenous

v((2v^2) u -3) du + (3u^2) (v^2) - 3u + 4v) dv = 0

Find the complete or particular solution of the followiing D.E.

1. y(x^2+xy-2y^2)dx+x(3y^2-xy-x^2)dy=0
2. (x+ysin y/x)dx-xsin y/x dy=0

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