Elementary Mathematics MCQs | MTH001 MCQs | Set 3 MCQs (Multiple Choice Questions) 1)    When 3 coins are to...

Elementary Mathematics MCQs | MTH001 MCQs | Set 2 MCQs (Multiple Choice Questions) 1)  The value of all ass...

Elementary Mathematics MCQs | MTH001 MCQs | Set 1 MCQs (Multiple Choice Questions) 1)  The difference betwee...

Let X be a cofinite topological space. Then show that the derived set of A(denoted as A') is closed for any subset A of X. Solution: To ...

List all possible topologies on the set X={a,b}. Solution: When considering the set X = {a, b}, there are several possible topologies that c...

Solve the following differential equation and write the answer in the least simplified form. `y' + y = y^{5/2}` Solution: To solve the d...

Solve the following differential equation and write the answer in the least simplified form. 𝑦′ + 𝑐𝑜𝑡(𝑥)𝑦 = 𝑠𝑖𝑛(𝑥)  Solution: To s...

Show that the differential equation `2ty dy/dt + 2t + y^2 = 0`, is the total derivative of the potential function `φ(t, y(t)) = t^2 + ty^2` ...

Show whether the differential equation is exact or not. `sin(t)dy/dt + t^2 e^y dy/dt - dy/dt + ycos(t) + 2te^y − 3t^2 = 0` Solution: To dete...