Differential Equations Answers

Q. Obtain the partial differential equation by eleminating the arbitrary constant from the relation
u=xy+y√(x^2-a^2 )+b

Q. Obtain the partial differential equation by eleminating the arbitrary constant from the relation
u=ax+(1-a)y+b

Show that u(x, y)=xf(2x+y) is a general solution of x∂u/∂x-2x ∂u/∂y=u

Form a Partial differential eq. of ᵩ(x+y+u, x2+y2+u2)=0

Form Partial differential eq. of u=f(x-3y)+g(2x+y)

Form Partial differential eq. of u=xnf(y/x)

Form Partial differential eq. of u=y2+2f(1/x+ln y)

Form Partial differential eq. of x^2/a^2 +y^2/b^2 +u^2/c^2 =1

Form Partial differential eq. of u=aeby+sinbxb

Form Partial differential eq. of u=xy+y√(x^2-a^2 )+b