1. Find the general solution to y" + 5y' + 7y = 0. - 2. Solve the initial value problem y" — 6y' + 25y = 0, y(0) = 3, y'(0) = 1. 3. Find a homogeneous linear differential equation whose general solution is y C₁+C2e2 = 4. Find a homogeneous linear differential equation whose general solution is y C₁e cos(2x) + C₂e¯* sin(2x). = 5. Solve the differential equation by undetermined coefficients y" y' 6y=2x.