Find an explicit solution of the given initial value problem. x^2dy/dx = y - xy, y(-1) = -6
Find an explicit solution of the given initial value problem. sqrt(1-y^2)dx - sqrt(1-x^2)dy = 0, y(0) = 1/2
Find a solution of xdy/dx = y^2 - y that passes through the indicated points. (a) (0,1) (b) (0,0) (c) (1/3,1/3) (d) (6,1/8 )
In this problem y = 1/(1+c1e^-x) is a one-parameter family of solutions of the first-order DE y' = y - y^2. Find a solution of the first order IVP consisting of this differential equation and the given initial condition. y(0) = -1/4
In this problem y = 1/(x^2 + c) is a one parameter family of solutions of the first-order DE y' + 2xy^2 = 0. Find a solution of the first order IVP consisting of this differential equation and the given initial condition. y(3) = 1/5 Give the largest interval I over which solution is defined. (Enter your answer using interval notation)
y = 1/(x^2 + c) is a one parameter family of solutions of the first order differential equation y' + 2xy^2 = 0. Find a solution of the first order IVP consisting of this differential equation and the given initial condition. y(-3) = 1/7 Give the largest interval I over which solution is defined. (Enter your answer using interval notation)
Find the domain of y considered as a function over the reals. (Enter your answer using interval notation) y = 1/(x^2 + c) is a one parameter family of solutions of the first order differential equation y' + 2xy^2 = 0. Find a solution of the first order IVP consisting of this differential equation and the given initial condition. y(-3) = 1/4 Give the largest interval I over which solution is defined. (Enter your answer using interval notation)