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Differential Equations
(Y^2+yz+z^2)dx+(z^2+zx+x^2)dy+(x^2+xy+y^2)dz
Differential Equations
Use the method of characteristics to solve the following 1st order partial differential equations
3Ux – 2Uy = 3sinx , U(0,y) = 3y-1
3Ux – 2Uy = 3sinx , U(0,y) = 3y-1
Differential Equations
8ap^3=27y
Differential Equations
solve the equation d²y/dt² + 2dy/dt -3y = sin t , given that y = dy/dt = 0 when t = 0
Differential Equations
Write the type of equetion (y+z)dx+(z+x)dy+(x+y)dz=0 ond find the Solution with the transformation for mation z=x+ky .
Differential Equations
solve (1+2xy cos x^2 -2xy)dx+(sinx^2-x^2)d y=0
Differential Equations
solve the following bondry value problems by the method of separation of variables
Ut = Uxx 0<x<1 , t>0
U(0,t)= 0 ,U(pi ,t)= 0
U(x , 0) = sinx + 2sin3x
Differential Equations
solve (xz-y)p + (yz - x)q =1-z^2
Differential Equations
Z^2dx+(z^2-2yz)dy+(2y^2-yz-xz) dz=0
Differential Equations
1. dx/x^2+2y^2 = dy/-xy = dz/xz
2. dx/z(x+y) = dy/z(x-y) = dz/x^2+y^2
3. dx/x(y^2+z)=dy/-y(x^2+z)=dz/z(x^2+y^2)
4. dx/y-zx=dy/x+yz=dz/x^2+y^2
2. dx/z(x+y) = dy/z(x-y) = dz/x^2+y^2
3. dx/x(y^2+z)=dy/-y(x^2+z)=dz/z(x^2+y^2)
4. dx/y-zx=dy/x+yz=dz/x^2+y^2
