State if the equation is separable or homogeneous: (x^2 + y^2) (dy/dx) = 5xy
Solve the initial value problem; it is not necessary to find all solutions of the equation: xy'=y(y-2), y(3)=2
Solve the initial value problem dy/dx=(3x^2+4x+2)/[2(y-1)], y(0)=-1
Find the solution of the system X' using the "diagonalization" technique (actually the Jordan form in this case) Please see the attached file.
I would like someone to introduce me to ODE and answer questions as they arise.
Sketch the direction fields for the following ODE's. Make use of isoclines wherever possible. a. y' = y - x + 1 b. y' = 2x c. y' = y - 1 d. y' = xsquared + ysquared - 1 e. y' = y - xsquared Please note y'=y prime. It looks diff, when i see the ? #2. In each direction field above sketch integral curves for which
Y'= 1/2 - (X)+2x when y(0)=1 Find the exact solution of ___ O/ <<note!!!! I don't know how to put in a zero with a line going across to make a pheee. 1a. Let h=.1 use euler & improved to approximate to get "Phee" of .1, phee of.2, and phee of .3