( 1 /t + 1/ t ^2 − y /t ^2 + y ^2 ) d t + ( y e ^y + t /t ^2 + y^ 2 ) d y = 0
Find Z[n(n – 1) (n – 2)].
Solve the given problem by means of an eigenfunction expansion.
y"+2y= −x, y(0)=0, y'(1)=0
The velocity distribution in a two dimensional steady flow field is xy plan is v=(Ax-B)i+(C-Ay)j,A=2s-1,B=5ms-1,C=3ms-1. The coordinates are measured in meters and body force distributing is gx=-gk.Does the velocity field represent an incompressible fluid?Find the stagnation point of the flow field. Obtain expression for the pressures gradient in the flow field. Evaluate the difference at(x,y)=(1,3) and origin if density is 1.2kg/m3
solve the initial value problem:
dx/dt+ (tant)x= cos2t , x(0)= -1
(D2-2D+3) y=x2