G
Guest
Guest
I really need help with these two problems...
1. y dy/dx= x / sqrt1 + y^2, y(0) = 1
2. y'(x) = e^x + y, y(0) = 1
1. y dy/dx= x / sqrt1 + y^2, y(0) = 1
2. y'(x) = e^x + y, y(0) = 1
\(\displaystyle \L2)\;\;\frac{dy}{dx} \:=\:e^x\,+\, y,\;\;y(0)\,= \,1\)
1. y dy/dx= x / sqrt1 + y^2, y(0) = 1
y dy/dx = x/[y^2-1]^1/2 multiply both sides by [y^2-1]^1/2
[y^2-1]^1/2 [ydy]= xdx the derivative of y^2 is 2y dy
2[y^2-1]^1/2 [2ydy]=x dx integrate