Differential Equations Answers

(y-2)dx-(x-y-1)dy=0

Solve z=px+qy-log(pq)

(x^2D^2-xD+1)y=xlogx

y'' + y' - 6y = 2x

Find the complete integral of the p.d.e P2x+Q2x= Pz using Jacobi's method

A bacterial population is known to have a logistic growth pattern with initial population 1000 and an equilibrium population of 10,000. A count shows that at the end of 1 hr there are 2000 bacteria present. Determine the population as a function of time. Determine the time at which the population is increasing most rapidly and draw a sketch of the logistic curve.

ysin2xdx=(1+y^2+cos^2x)dy

4xyz=pq+2px^2y+2qxy^2

z=px+qy+3(pq)^1/3

yp+x^2q^2=2x^2y