dy Solve the initial value problem dt 3. y = 2t et , y(1) t = 0. Then calculate the value of y(2). Enter answer rounded to nearest integer. y(2) = dT + 0.06T = 0.06e dt -0.05t Find the solution of the initial value problem: where T(0) = 30 Step 1: Find the integrating factor Step 2: Multiply both sides of the equation by the integrating factor. Step 3: Write the equation in the form [f(T, t)]' = g(t): %3D f(T, t) = %3D g(t) = Step 4: Solve the initial value problem: T(t) =