`(1-x^2)(dy)/(dx)+x y=a x`

Solve the equation (1-x^2)((dy)/(dx))+2x y=xsqrt(1-x^2)

Solve the following differential equations: (1+x^2)(dy)/(dx)-2x y=(x^2+2)(x^2+1)

The integral curve of the equation ((1-x^2)dy)/(dx)+x y=x is a conic, whose centre is (0, 1) a conic, length of whose one axis is 2 an ellipse or a circle if |x| 1

The differential equations, find a particular solution satisfying the given condition: (1+x^2)(dy)/(dx)+2x y=1/(1+x^2); y=0 when x = 1

The differential equations, find a particular solution satisfying the given condition: (1+x^2)(dy)/(dx)+2x y=1/(1+x^2); y=0 when x" "=" "1

The differential equations, find a particular solution satisfying the given condition: (1+x^2)(dy)/(dx)+2x y=1/(1+x^2); y=0 when x = 1

Solve the following differential equation: ((x^2-1)dy)/(dx)+2x y=1/(x^2-1);\ |x|\ !=1

Solve the following differential equation: ((x^2-1)dy)/(dx)+2x y=1/(x^2-1);\ |x|\ !=1

For each of the following differential equations verify that the accompanying functions a solution. (i) x(dy)/(dx)=y => y=a x (ii) x+y(dy)/(dx)=0 => y=+-sqrt(a^2-x^2) (iii) x(dy)/(dx)y+y^2 => y=a/(x+a) (iv) x^3(d^2y)/(dx^2)=1 => y=a x+b+1/(2x) (v) y=((dy)/(dx))^2 => y=1/4(x+-a)^2

Which of the following differential equations has y = x as one of its particular solution? (A) (d^2y)/(dx^2)-x^2(dy)/(dx)+x y=x (B) (d^2y)/(dx^2)+x(dy)/(dx)+x y=x (C) (d^2y)/(dx^2)-x^2(dy)/(dx)+x y=0 (D) (d^2y)/(dx^2)+x(dy)/(dx)+x y=0