Here a few questions and my answers where i have done. check means i want a yes or no as to my answer =P
Q1: 2xy(y')=y^2-9 x not=0
a) find steady state solution...
b) find the general solution:
y'=(y^2-9)/(2xy) ? check
c) Find the particular solution when y=5 and x=4
Is the answer 2/5 check
Q2: The half life of morphine in the human bloodstream is 3 hours.
(a) If initially there is 0.4 mg of morphine in the bloodstream, find an equation for the amount of morphine in the bloodstream at any time t.
M=morphine amount, t=time in hours
M=(cuberoot(0.5)^t)*)0.4 ? check
(b) When does the amount drop below 0.01 mg?
15.96 hours? check
Q3: Find a function f(x) such that the point (1, 2) is on the graph of y=f(x), the slope of the tangent line at (1, 2) is 3 and f''(x)=x-1
I got f(x)=(x^3)/6-(x^2)/2+3.5x-1/1/6 check please...(1/1/6 means 1 and 1 sixth)
We know that [tex]f'(1)=3