Search
Solve (2y³xe^y+ y² + y)dx + (y³x²e^y-xy- 2x)dy = 0.
Find the equation of the family of all erhogonal trajectories of the family ofcircles which pass through origin and hav centres on the y-axis.
State Newton s law of cooling. If the temperature of the air is 30^{0}C and thetemperature of the body drops from 80°C to 60^{0}C in 10 minutes. What will beits temperature after 20 minutes.
Solve (x^{2}D^{2}+4xD+2)y=(logx/x)^{2},x>0 , where D=d/dx
Solve d^{2}y/dx^{2}-6dy/dx+13y=20e^{3x}cos(2x+5)
Solve the initial value problem y^{2}y -y^{3}tanx=sinxcos^{2}x,y(0)=1
the tunction f(z)= (z)^{2}/z,z≠0 0,z=0 suntistes -Rieman equations at z=0 Does f (0) exist?`
Evaluate ∫0^{π/2α}αsinαxdx,α>0 by using Leibniz formula.`
find the length of the curve y=ln(e^{x}+1/e^{x}-1) from x=1 to x=2 `
A thick cylinder of internal and external radii 300 mm and 500 mm respectively is subjected to a gradually increasing internal pressure P. Determine the value of P when:
(a) the material of the cylinder first commences to yield;
(b) yielding has progressed to mid-depth of the cylinder wall;
(c) the cylinder material suffers complete “collapse”.
Take uY = 600 MN/m’.
