3. (25 points) Using Laplace transform techniques, solve the following initial value problems y(0) = 1,y'(0) = -2 y" + 5
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4. z transform
3. (25 points) Using Laplace transform techniques, solve the following initial value problems y(0) = 1,y'(0) = -2 y" + 5y' +6y= -4sin(2x)-x³ 4. (25 points) Solve the given difference equation, yk+2 + 4yk+1 + 3y = 3k where: yo = 0 and y₁ = 1, using z transform.