3) Solve the initial value problems c) R′ + (R/t) = (2/(1+t2 )) , R(1) =...

3) Solve the initial value problems

c) R′ + (R/t) = (2/(1+t² )) , R(1) = ln 8.

e) ) cos θv′ + v = 3 , v(π/2) = 1.

5) Express the general solution of the equation x ′ = 2tx + 1 in terms of the erf function.

7) Solve x ′′ + x ′ = 3t by substituting y = x ′

9) Find the general solution to the differential equation x ′ = ax + b, where a and b are constants, first by separation of variables, and second by integrating factors

Expert Solution

Colby Messinger answered 2 years ago

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Consider the following vector function. r(t) =<3t, 1/2 t2, t2> (a) Find the unit tangent and...

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1. solve the initial value problem. (t^(2)+1)y'+2ty=tant , y(0)=2 2.find the solution to this initial value...

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