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( 1 /t + 1/ t ^2 − y /t ^2 + y ^2 ) d t + ( y e ^y + t /t ^2 + y^ 2 ) d y = 0


Write a program to solve the Cauchy-Euler differential equation
(X
Solve the problem :
(1/(1+x^2) + cos t -2xt) dx/dt = x(x+sin t), x(0)=1
solve the problem d^2x/dt^2 +x=8cos2t-4sint, x(π/2)=-1, x'(π/2)=0
solve the problem d^2x/dt^2 +x=8cos2t-4sint x(π/2)=-1 (π/2)=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

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