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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


`find the length of the curve y=ln(e^{x}+/e^{x}-1) from x=1 to x=2 `


Evaluate ∫0^{π/2a}asinαxdx,α>0 by using Leibniz formula.`


the tunction f(z)= (z)^{2}/z,z≠0  0,z=0  suntistes -Rieman equations at z=0 Does f (0) exist?`


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