The solution of a certain differential equation is of the form: y(t) = aexp(7t) + bexp(12t), where a and b are constants. The solution has initial conditions: y(0) = 2 and y'(0) = 4. Find the solution by using the initial conditions to get linear equations for a and b.
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We are given the solution of the differential equation as: $$y(t) = a e^{7t} + b e^{12t}$$ Show more…
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