Will someone please help me solve these problems!!
1) Find the particular solution of the differential equation (dy/dx)= (x-5)e^(-2y)
satisfying the initial condition y(5)=ln(5).
2) Find f(x) if y=f(x) satisfies (dy/dx)=18y(x^5) and the y-intercept of the curve is y=f(x) is 5.
3) Solve the separable differential equation (dy/dx)=0.4y, and find the particular solution satisfying the initial condition y(0)= -2.
A stone is thrown straight down from the edge of a roof, 1050 feet above the ground, at a speed of 5 feet per second.
A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 5 seconds later?
B. At what time does the stone hit the ground?
can anyone help me out with this problem??? it should be easy but i've been stuck on it for a while