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Find the solution of the IVP. In these problems, the independent variable is not t and...

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Advance Math

Find the solution of the IVP. In these problems, the independentvariable is not t and the dependent variable is not y.

a. 2(dw/dr) - w = e2r, w(0) = 0

b. (dz/dr) = 4z + 1 + r, z(0) = 0

c. (dq/dr) + 2q = 4, q(0) = -1

Find a particular solution, and the general solution to theassociated homogeneous equation, of the following differentialequations.

d. y' - 2y = 6

e. 7y' - y = e2t + 3

f. y' + 2ty = 1

g. y' + y = 3e-t

Please show work.

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