(a) 1/x * dy/dx + 2/(1+x^2)*y=3 y(1)=4
(b) 2*x * dy/dx = 2*y + (x^2+y^2)^1/2
Thank you very much
Originally Posted by simfonija
Multiply by "x",
This is a Linear-First Order Differential Equation.
Here,
Therefore,
Thus, the solutions are,
Thus,
Use, ,
Now you probably mean,
because these are usually how initial conditions are given.
Thus,
From here the unique solution is,