Crazy Gaussian Integral

Calculus Level 5

If the following integral is satisfied for some relationship between the constants a,ba , b and cc-

e(ax2+2bxy+cy2)dxdy=1 \displaystyle\int_{-∞}^{∞}\displaystyle\int_{-∞}^{∞} e^{-(ax^{2} + 2bxy + cy^{2})}dxdy = 1

Find the value of b2ac b^{2} -ac

×

Problem Loading...

Note Loading...

Set Loading...