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In x dx/dy=2/xy^3
one of the solutiin of the equation (1-x^2) y''-2xy'+12y=0 is
Ans-P3(x)

(x-4y-9)dx+(4x+y-2)


1. y = c1ex + c2 xex ; y” -2y’ + y = 0


2. 2. x2 + y2 = r2 ; y’ = - 𝑥 /y






Determine the Green, s function and express the solution as a definite integral

-y''=f(x), y(0)=0, y'(1)=0
Use the integrating factor to solve the differential equation. dz/dy = z tan y + sin y

Find the general/particular solution of the following Differential Equations.


(Integrable Combinations)


y(y² + 1)dx + x(y² - 1)dy=0


Find the general/particular solution of the following Differential Equations.


(Integrable Combinations)


1.) (xdy-ydx)/(x^2) = x^3 dx


Find the general/particular solution of the following Differential Equations


(Non-Exact D.E)


(y - xy³)dx + xdy=0


Find the general/particular solution of the following Differential Equations


(Non-Exact D.E)


(x + 4y³)dy - ydx =0


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