An equation of the form t2 d2y dt2 + αt dy dt + βy = 0, t > 0, (1) where α and β are real constants, is called an Euler equation. If we let x = ln t and calculate dy/dt and d2y/dt2 in terms of dy/dx and d2y/dx2, then equation (1) becomes d2y dx2 + (α − 1) dy dx + βy = 0. (2) Observe that equation (2) has constant coefficients. If y1(x) and y2(x) form a fundamental set of solutions of equation (2), then y1(ln t) and y2(ln t) form a fundamental set of solutions of equation (1). Use the method above to solve the given equation for t > 0. t2y'' + 5ty' + 3y = 0

What does x = in this equation x+3+2x=x+5

What is the equation of the line in point-slope form? y+ 4 = 1/2(x+4) y-4 = 1/2(x + 4) y-0 = 2(x - 4) y-4 = 2(8-0)

:i need some real : a store sells shirts to the public at one pricing scale and wholesale at another pricing scale. the tables below describe the cost, y, of x shirts. (after tables) how do the slopes of the lines created by each table compare? the slope of the public table is 3/4 of the slope of the wholesale table.the slope of the wholesale table is 3/4 of the slope of the public table.the slope of the public table is 12 times greater than the slope of the wholesale table.the slope of the wholesale table is 12 times greater than the slope of the public table.