Solve the ODE y' = -x/y.
we have dy/dx = -x/y , so we treat the differentials as fractions and write y dy = -x dx. Now integrating the left side with respect to y and the right side with respect to x, we have y2/2 = -x2/2 + C. Which is our final solution.
JM
Related Maths A Level answers
All answers ▸Find dy/dx in terms of t of the parametric equations x=4e^-2t, y=4 - 2e^2t
For rectangles of area 100 m^2 what is the perimeter of the rectangle with the smallest perimeter?
Find the equation of the tangent to the curve x^3+yx^2=1 at the point (1,0).
Prove the identity (4cos(2x))/(1+cos(2x)) = 4-2sec^2(x)