Ask a New Question

(a) Let S be the set of solutions y(t) to the differential equation dy/dt = -y for t> 0. With addition and scalar multiplication of elements defined in the usual way, is S a vector space?

(b)Let T be the set of solution y(t) to the differential equation dy/dt = 1 - y for t > 0. With addition and scalar multiplication of elements defined in the usual way, is T a vector space?

Ask a New Question or answer this question.

Similar Questions

Consider the differential equation dy/dt=y-ta) Determine whether the following functions are solutions to the given differential
1. 3 answers
Consider the differential equation dy/dx=xy-y. Find d^2y/dx^2 in terms of x and y. Describe the region in the xy plane in which
1. 1 answer
in this problem we consider an equation in differential form M dx+N dy=0(2y-2xy^2)dx+(2x-2x^2y)dy=0 give implicit general
1. 1 answer
The maximum number of arbitrary constants is equal toa. Number of derivatives in the differential equation b. Degree of
1. 1 answer

more similar questions