Differential EQNS: $y \, dx = \left[ x + (y^2 - x^2)^{1/2} \right] dy$
ydx = x + √ y^2 - x^2 dy
ydx = x + √ y^2 - x^2 dy
Find the dimensions of the largest circular cone that can be inscribed in a sphere of radius R.
Find the ratio of the altitude h to the base radius r of a right circular cylinder having the largest lateral surface area S, if the right circular cylinder is to be inscribed in a sphere of radius R.
y(9x -2y)dx - x(6x - y) dy = 0
2. (x csc y/x - y) dx + xdy=0
3. (x^2 + 2xy - 4y^2) dx - ( x^2 - 8xy - 4 y^2)=0
4. x^y ' = 4x^2 + 7xy + 2 y^2
Help a stranger please. This is for my homework and I'm having a hard time solving these equations. Show the complete solutions and final answers please. It will be a great help. Thank you so much.
This covers Additional Topics on Equations of Order One, Coefficient Linear in Two Variables.
1. (6x-3y+2)dx-(2x-y-1)dy=0
2. (x+2y-1)dx-(2x+y-5)dy=0
please help
how to eliminate arbitrary constant where h is a parameter;
y=mx+h/m
Im having a difficulty solving this problem y = Aeaxcos(bx)+Beaxsin(bx) where a and b are parameters. Can anyone show me how to solve this ?