Assign 6 - MATH 1330D Winter 2014 Assignment 6 Due Thursday March 27 at 7pm Late assignments will not be accepted 1 Prove that y(x = e1 1 x2 1 is the

Assign 6 - MATH 1330D Winter 2014 Assignment 6 Due Thursday...

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MATH 1330D, Winter 2014, Assignment 6 Due Thursday March 27 at 7pm Late assignments will not be accepted 1. Prove thaty(x) =e1-1+x2-1 is the solution of the initial value problemy0=-x(1 +y)1 +x2,y(0) = 02. Find the antiderivatives of the following functions(1)f(t) = sint-t34(2)f(x) = 12x+x12(3)f(x) =13x+2(4)f(x) =11+x23. Using the antiderivative to solve the following IVP(1)f0(t) =et-2t+ 1,f(0) =-4(2)f0(x) = 4x-2x,f(1) = 24. A populationp(t) of caribou is modeled by the autonomous differential equation

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