07/07/13
Solve the differential equation?
Solve the differential equation y dx+(2xy-e^(-2y))dy=0.
I know that the integrating factor is e^2y/y.
e^2y dx+2x(e^2y)-1/y dy=0
Now what?
The answer is xe^2y-ln abs(y)=c, y=0. Can you explain...
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07/05/13
Solve the differential equation?
Solve the differential equation dx+(x/y-sin(y))dy=0.
I know that the integrating factor is y.
y dx+x dy-ysin(y) dy=0
d(xy)-ysin(y) dy=0
How do I integrate this?
07/04/13
Solve the initial value problem?
Solve the initial value problem y'+2y=g(t), y(0)=0, where g(t)={1, 0≤t≤1, 0, t>1.
07/03/13
Show that this equation is homogeneous?
Show that dy/dx=(4y-3x)/(2x-y) is homogeneous.
xv=y
v'x+v=y'
v'x+v=(4y-3x)/(2x-y)
07/02/13
Find the value of yo?
Find the value of yo for which the solution of the initial value problem y'-y=1+3sin(t), y(0)=yo remains finite as t approaches to positive infinity.
06/30/13
Find the value?
Consider the initial value problem: y'+(2/3)y=1-(1/2)t, y(0)=yο. Find the value of yο for which the solution touches, but does not cross, the t-axis.
06/30/13
Find the coordinates?
Consider the initial value problem: y'+(1/2)y=2cos(t), y(0)=-1. Find the coordinates of the first local maximum point of the solution for t>0.
06/29/13
Find the general solution?
Find the general solution of ty'-y=t^2*e^(-t), t>0.
I got y=(t^-1)(e^-t)(t^3/3+c) but when I simplify that I didn't get the right answer. Please help me with steps.
06/29/13
Find the solution of the given initial value problem?
Find the solution of the given initial value problem for ty'+2y=t^2-t+1, y(1)=1/2, t>0.
06/29/13
What level of knowledge do you must know in electrical engineering to invent gadgets?
College level? And where should you invent gadgets? What are some gadets we need in electrical engineering that if one invented, that person will earn lots of money? If invented, how much money can...
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06/28/13
Find the rate constant r?
Consider a population p of field mice that grows at a rate proportional to the current population, so that dy/dt=rp.
a) Find the rate constant r if the population doubles in 30 days.
b) Find r if...
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06/27/13
Solve the initial value problem?
Solve the initial value problem: y'=2x/y, y(0)=2.
dy/dx=2x/y
y dy=2x dx
y^2/2=x^2+c
Now what?
06/27/13
Find the natural frequency?
For the system u"+3u=4sin(ωt), find the natural frequency, the value of ω that produces resonance and a value of ω that produces beats.
natural frequency=sqrt(3)
How do I find the beats?
06/27/13
Find the steady-state solution?
For u"+4u'+8u=15cos(t)+10sin(t), find the steady-state solution and identify its amplitude and phase shift.
06/25/13
How to self-study physics and electrical engineering without going to college?
How to self-study physics and electrical engineering without going to college? You can buy used textbooks and study it and when you're stucked, can you go to the nearest college and get tutored?...
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