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3. (25 Points) Find f(t). f(0) + f(t - 1)f(t)dt = t. Hint: The second term on the left side is a convolution and it might be

4. (10 Points) Solve the initial value problem by Laplace transform techniques. x + 5x + 4x = 0;x(0) = 1,x(0) = 0. I

5. (15 Points) Find a series solution for the following differential equation. Calculate the radius of convergence. 2(x - 1)y

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3 on both sides E HE > You 1 sh DO + 1 = +10+ 1 (2-1) +() dx = ? Take laplace tramborny Y(s) + y(s).L{t} L{Z} YCA) + Yes » Y(

answered by: ANURANJAN SARSAM
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3. (25 Points) Find f(t). f(0) + f(t - 1)f(t)dt = t. Hint: The second term...
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