Find the constants A and B in the solution y = Ae^x + Be^−xto the initial value problem: y′′ − y = 0,   y(0) = 2,   y′ (0) = 1

Solve the initial value problem: yy′+x=sqrt(x^2+y^2) with y(4)=−sqrt(33) The solution to the original initial value problem is described by the following equation in x,y.

Solve the equation 2yy" = 1 + (y')²

Solve solve General solution (d) (1+y/2)3= (y")².

Use the method of undetermined coefficients to determine the form of a particular solution for the given equation. y'"' + 10y" – 11y=xe* + 4x What is the form of the particular solution with undetermined coefficients? Yp(x) = ] (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)

Find all solutions of the equation x2y' = y3 − 5x2y3 explicitly

If one of the linear independent solutions of the equation is y1 = 1 / x, find the other linear independent solution by the method of decreasing order. General equationwrite the solution

The general solution of y' == X У can be written in the form = C