Search & Filtering
Find regular singular point of (x^2+1)y"+y'+y=0
INTEGRATING FACTOR
Test for exactness and find the general solution:
1. y(x2 + y)dx + x(x2 − 2y)dy = 0
2. (2y4 + 1)dx + 4xy3dy = 0
3. y(x3y − 1)dx + x(xy4 − 1)dy = 0
4. y2dx + xydy = 0
5. y(y − 1)dx + xdy = 0
EXACT DIFFERENTIAL EQUATIONS
Test for exactness and find the general solution:
1. (2x + 4y − 5)dx + (6y + 4x − 1)dy = 0
2. (y + 2xy3)dx + (1+ 3x2y2 + x)dy = 0
3. 3x2ydx + (x3 + 2y4)dy = 0
4. (1/y)dx - (x/y2)dy = 0
5. (4x3 − y3)dx − 3xy2dy = 0
A tightly stretched string with fixed end points x=0 and x=l is initially in a position given by y(x,0)=k(lx-x2). It is released from rest from this position. Find the expression for the displacement at any time t.
Solve xp2-yp-y=0
Find the laplace transform of t2?
Find the laplace transform of sinat where a is a constant
Find the laplace of cosat where a is a constant
Solve xd^2y/dx^2-(2x-1)dy/dx+(x-1)y=0
Solve in series 2x(1-x)d^2y/dx^2+(1-x)dy/dx+3y=0
