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  3. solve (1+e^x)dy/dx+(e^x)y=3x^2+1 solve (x^3+y^3)dx

Solve (1+e^x)dy/dx+(e^x)y=3x^2+1 Solve (x^3+y^3)dx+3xy^2 dy = 0 Solve (y-cos y)dx + (xsiny+x)dy = 0 Solve (1+ln x +y/x)dx...

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Advance Math

Solve (1+e^x)dy/dx+(e^x)y=3x^2+1

Solve (x^3+y^3)dx+3xy^2 dy = 0

Solve (y-cos y)dx + (xsiny+x)dy = 0

Solve (1+ln x +y/x)dx = (1-lnx)dy

Solve (y^2+yx)dx - x^2dy =0

Solve (x^2+2y^2)dx = xydy

Solve Bernoulli's Equation x dy/dx + 2y = (x^4)(e^x)(y^2)

Solve Bernoulli's Equation (1+x^2) dy/dx = 2xy +(e^x)(y^2)

Solve IVP (3e^(x^2))dy + (xy^2)dx=0 ; y(1) = 2

Solve IVP dy/dx -2xy = e^(x^2) ; y(0)=0

Solve IVP (x^2+y^2)dx+(2xy)dy=0; y(1)=1

6. Mixture Problem

Initially 40 lb of salt is dissolved in a large tank holding 100gallons of water. A pure water is pumped into the tank at a rate of2 gal/min and the well-stirred solution is then pumped out at thesame rate.

a. Determine the amount of salt in the tank at any time and Howmuch salt is present at t ? 50 mi

b. At what time the concentration of the salt be 0.2 lb/gal?

c. At what time the concentration of the salt be 0.01lb/gal?

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