The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx Y₂ = Y₁(x) [² y} (x) dx (5) as instructed, to find a second solution y₂(x). 25y" - 20y' + 4y = 0; y₁ = e²x/5

The indicated function y,(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, eSP(x) dx Y2 = Y,(x) (5) as instructed, to find a second solution y,(x). x²y" + 2xy' – 6y = 0; y, = x-

1a. Stan is making an arch at the top of his barn doors. The arch has a shape that can be modelled by the equation of a parabola. If the left edge of the door is the origin and the doorway is 6 m wide, what is the equation of the parabola if the height of the arch, 2 m from the edge of the doorway, is 5 m? Hint: Begin by drawing a sketch. b. Algebraically, determine the point(s) of intersection of the functions:f(x) = -3x2 +6x + 4 and g(x) = 3x - 2 the questions come together!

Q1:A. Solve the differential equation (y + 1)dx + (x + 1)dy = 0 1. Separable equation y(0) = 0 Cho