September 2017

EngineerInTheMaking's picture

Differential Equation: Eliminate $C_1$, $C_2$, and $C_3$ from $y=C_1e^x+C_2e^{2x}+C_3e^{3x}$

Submitted by EngineerInTheMaking on September 3, 2017 - 5:02pm

How to eliminate arbitrary constants
y=C1e^x+C2e^2x+C3e^3x

thank you :)

Families of Curves: family of circles with center on the line y= -x and passing through the origin

Submitted by danedison on September 12, 2017 - 9:10pm

Find the diff equation of family of circles with center on the line y= -x and passing through the origin.

THANK YOU :)

What am I missing when I rotate a tripod leg 45 degrees to solve for loads

Submitted by JAG-E on September 13, 2017 - 12:21am

I solved for the loads on a tripod leg that creates a 45 degree angle with the ground. The leg is 2x2" tube. The legs fold up and then swings into open position and stopped by R2. After solving for the loads I rotated the leg to the horizontal position. I solved for the X&Y components. This allowed me to use a beam program with the Y loads and reactions to determine the moment diagram and bending stress. I would then solve for the axial stresses using the X components. I could then combine the bending stress and axial stresses.

Homogeneous equations- general solution

Submitted by shaaarmiii on September 14, 2017 - 7:48am

can u help me obtain the general equation of this
(( xcsc (y/x) - y ))dx + xdy = 0

Arbitrary constant

Submitted by danedison on September 14, 2017 - 7:26pm

y=x^2+C1e^2x+C2e^3x

Thank you again

Abrielle Marcelo's picture

Application of Differential Equation: mixture problem

Submitted by Abrielle Marcelo on September 17, 2017 - 12:19pm

A 600 gallon brine tank is to be cleared by piping in pure water at 1 gal/min. , and allowing the well-stirred solution to flow out at the rate of 2 gal/min. If the tank initially contains 1500 pounds of salt, a) how much salt is left in the tank after 1 hour? b) after 9 hours and 59 min?