1
answer
0
watching
566
views
goldfox667Lv1
6 Nov 2019
Consider the differential equation dy/dx = e^2x + (1 + 2e^x) y + y^2(*) Show that y_1(X) = -e^x is a solution of equation(*)Solve (*) Solve the differential equation 3(1 + x^2) dy/dx = 2xy(y^3 - 1) Solve the differential equation y - (x + 4) y' = (y')^2 Solve the initial value problem -xy' + y = (y' + 1)^2, y(0) = 0 Determine whether the following set of functions are linearly independent for all x where the function is defined {x, e^2x + 1, e^3x - 4} Prove that f_1(x) = x^2 and f_2(x) = |x| are linearly independent on (-infinity, +infinity) Show that W(f_1(x), f_2(x)) = 0 for every real number. Find a general solution of the differential equation 2y" + 5y' + 2y = 0, y(0) = pi, y'(0) = 1 Show transcribed image text
Consider the differential equation dy/dx = e^2x + (1 + 2e^x) y + y^2(*) Show that y_1(X) = -e^x is a solution of equation(*)Solve (*) Solve the differential equation 3(1 + x^2) dy/dx = 2xy(y^3 - 1) Solve the differential equation y - (x + 4) y' = (y')^2 Solve the initial value problem -xy' + y = (y' + 1)^2, y(0) = 0 Determine whether the following set of functions are linearly independent for all x where the function is defined {x, e^2x + 1, e^3x - 4} Prove that f_1(x) = x^2 and f_2(x) = |x| are linearly independent on (-infinity, +infinity) Show that W(f_1(x), f_2(x)) = 0 for every real number. Find a general solution of the differential equation 2y" + 5y' + 2y = 0, y(0) = pi, y'(0) = 1
Show transcribed image text Patrina SchowalterLv2
12 Oct 2019