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Verify that the total differential equation(1+yz)dx+x(z-x)dy-(1+xy)dz=0 is integrable and hence find its integral.


Verify that the total differential equation(1+yz)dx+z(z-x)dy-(1+xy)dz=0 is integrable and hence find its integral.


Verify that the total differential equation z(z-y)dx+z(x+z)dy+x(x+y)dz=0 is integrable and hence find its integral


x2Uxx-xyUxy+y2Uyy-xUx+yUy=8y/x (x≠0,y≠0) find the general solution.


Uxx+3Uxy-4Uyy+Ux+4Uy=0 find the canonical form and solve the equation. (general solution)


(xz+yz)dx/dy + (xz-yz)dz/dy = x2+y2 find the general solution


find the general and particular solution of dy/dx=-8sin4x ; y=6 when x=0

find the general and particular solution of dy/dx=3y ; y=3 when x=0


dP/dT+2tP=P+4t-2


Z^3=pqxy by jacobi's method


Solve following ODE by method of undetermined coefficients.



(𝑫^𝟐―𝟖𝑫+𝟏𝟓)𝒚=𝟗𝒙𝒆^𝟐𝒙, 𝒚(𝟎)= 𝟓,𝒚′(𝟎)=𝟏𝟎


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