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Differential Equations

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

Differential Equations

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

Differential Equations

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

Differential Equations

x^{2}U_{xx}-xyU_{xy}+y^{2}U_{yy}-xU_{x}+yU_{y}=8y/x (x≠0,y≠0) find the general solution.

Differential Equations

U_{xx}+3U_{xy}-4U_{yy}+U_{x}+4U_{y}=0 find the canonical form and solve the equation. (general solution)

Differential Equations

(xz+yz)dx/dy + (xz-yz)dz/dy = x^{2}+y^{2} find the general solution

Differential Equations

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

Differential Equations

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

Differential Equations

Z^3=pqxy by jacobi's method

Differential Equations

Solve following ODE by method of undetermined coefficients.

(𝑫^𝟐―𝟖𝑫+𝟏𝟓)𝒚=𝟗𝒙𝒆^𝟐𝒙, 𝒚(𝟎)= 𝟓,𝒚′(𝟎)=𝟏𝟎