EC > GATE 2026 > Differential Equations
Consider the differential equation ẇ = Aw, with w(t = 0) = [1, 1]T.
If w(t) = etux + e-2tuy be the solution to the equation where ux and uy are unit vectors along the positive x and y axes respectively, then which of the following options is the correct matrix representing A?
If w(t) = etux + e-2tuy be the solution to the equation where ux and uy are unit vectors along the positive x and y axes respectively, then which of the following options is the correct matrix representing A?
Correct :
Similar Questions
The general form of the complementary function of a differential equation is given by $y(t)=(At+B)e^{-2t}$, where A and B are real constants determined by the i...
The general solution of d²y/dx² - 6dy/dx + 9y = 0 is
Which one of the following options contains two solutions of the differential equation dy/dx=(y-1)x ?
Total Unique Visitors
Loading......