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Solve the differential equation: s+p-q=z+xy


Solve the following ordinary differential equation.

dy/dx = (x^3) sec y


Solve the following initial-value problem.

dp/dt = -kp, p(0) = 10.4, p(2) = 3.7


Solve the initial value problem

y" + 2y + 2y = 2, 7(0) = 0,1(0)=1

using the method of Laplace Transform.
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)

in the equation x^2y''+xy'+(q^2x^2-m^2)y=0

Ans- x=0is a regular singular point and x=imfinite is an irregular singular point


(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