Find the solution of partial differentail equation ,whether it is linear,non linear or quazi linear .Uxx+xUy=y
Find the integrating factor and solve the following equations:
( 𝑦 − 𝑥^2) 𝑑𝑥 +( 𝑥^2sin 𝑦 − 𝑥 )𝑑𝑦 = 0
D2 −3DD+D2)z=sinxcosy
D2 −DD−2D2)z=e2x+y.
solve (1+t²)y' +4ty=(1+t²)^-2; y(0)=1
y''-y=3x^2e^x
solve the ivp cos(x)y¹ + sin(x)y = 2cos³(x)sin(x) - 1; y(pi/4) =3/2, 0<x<pi/2
solve (x²-1)² d²y/dx² - 2(x-1)dy/dx -4y=0
find the value of b for which the given equation is exact, and then solve it using that value of b
(xy^(2)+bx^(2)y)dx+(x+y)x^(2)dy=0
Solve y’=y-x2
, y(0)=1, by Picord’s method upto the third approximation . Hence find
the value of y(0,1), y(0,2)