ENGINEERING MATHEMATICS

                                         ENGINEERING MATHEMATICS 

DIFFERENTIAL EQUATIONS AND COMPLEX VARIABLES

• (D^2+2^D+1)Y=E^-X
  
• (D^2+D-12)Y=E^6X
  
• (D^2-D-6)Y=0
  
• (D^2+4D+13)Y=0
  
• (D^2+5D+6)Y=E^X
  
• (D^2-2D+1)Y=10E^X
  
• From the partial differential equation by elimination a and b from log(az-10)=x+ay+b
• solve(D^2+D+1)y=sin2x
• (D^2+3D+2)y=COS2x
  
• (D^2+3D+2)y=12x^2
  
• (D^2+2D+1)y=2x+x^2
  
• (D^2-3D+2)y=e^x
  
• (D^2+D+1)y=sin(2x)
  
• From a partial differential equation by eliminating an arbitrary function z=f(x/y)
  
• From the partial differential equation by eliminating the obituary function xyz=f(x+y+z).
  
• From a differential equation by eliminating the obituary function z=f(x^2-y^2)
  
• ax^2+by^2+z^2=1
• z=ax^n+by^n
  
• Obtain the partial differential equations of all spheres whose center lies on z=0 and whose radius is constant and equal to r
  
• ((2x+1)^2 D^2-2(2x+1)D-12)y=6x
  
• solve p=2qx
  
• solve q=px+p^2
  
• solve:pq=y
  
• solve:pq=k
  
• solve:p=y^2q^2
  
• solve: z^2(p^2z^2+q^2)=1
  
• solve p^2y(1+x^2)=qx^2
  
• solve z=px+qy+p^2-q^2
  
• (D^2+10DD'+25D'^2)Z=e^(3x+2y)
  
• (D^2-4DD'+4D'^2)y=e^(2x+3y)
  
• p^2+q^2=x+y
  
• solve : p^2+q^2=x^2+y^2
  
• solve : p-x^2=q+y^2
  
• solve : z=px+qy+p^2(q^2)
  
• solve : (p-q)(z-px-qy)=1
  
• solve : z=x+y+f(x,y)
• solve : ptan(x)+qtan(y)=tan(x)
  
• Form the partial diffrential equation by eliminating the orbitary function z=f(x/y)
  
• solve z=(x+a)(y+b)
  
• 
  
• 
  

PARTIAL DIFFERENTIAL EQUATION

• Form the partial differential equation by eliminating the arbitrary constants a and b from (x-a)^2 + (y-b)^2 + z^2 = R^2.
• Form the partial differential equation by eliminating the arbitrary constants a and b from z= (x^2 + a^2)(y^2 + b^2)
  
• Form the partial differential equation from  (x-a)^2 + (y-b)^2 = z^2 cot^2 α
  
• Form the partial differential equation from z=a^2x + by^2 + b.
  
• Form the partial differential equation from z= an x^n + b y^n.
  
• Form the partial differential equation of all planes having cutting equal intercepts from the x and y axes.
  
• Derive a partial differential equation from the equation 2z= (x^2/a^2) + (y^2/b^2)
  
• Form the partial differential equation from z= ax + by + a^2 + b^2.
  
• Form the partial differential equation from z= a log{[b(y-1)]/(1-x)}.
  
• Form the partial differential equation of the plane having constant distance 'k' from the origin.
  
• Form the partial differential equation of all spheres whose center lies on the z-axis.
  
• Eliminate the arbitrary function 'f' from the relation z= y^2 + 2 f( (1/x) + logy ).
  
• Form the partial differential equation by eliminating the arbitrary function from Φ( z^2 - xy, x/z) =0.
  
• Eliminate the arbitrary function 'f' from the relation f(x^2 + y^2 + z^2, x+y+z)=0.
  
• Find the partial differential equation of the family of spheres having their centers on the line x=y=z.