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Solve (2y^{3}xe^{y}+y^{2}+y)dx+(y^{3}x^{2}y^{y}-xy-2x)dy=0
Solve dy/dx=4x^{2}(y-x)^{2}+y/x if y=x is a particular solution
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 the initial value problem y^{2}y -y^{3}tanx=sinxcos^{2}x,y(0)=1?
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(1x+5)
Solve d^{3}y/dx^{3}-2d^{2}y/dx^{2}+dy/dx=sinhx+20
Solve d^{2}y/dx^{2}+4y=16sec 2xtan 2x?
Solve d^{2}y/dx^{2}+2dy/dx+y=xsinx
