यदि अतिपरवलय `xy = c^(2) " और" x^(2) - y^(2) = c^(2)` की उत्केन्द्रताये क्रमसः ` e_(1) "और" e_(2)` है तो -

y = c_(1) e^(2x) +c_(2)e^(-2x)

The general solution of the differential equation (dy)/(dx) = e^(y) (e^(x) + e^(-x) + 2x) is a) e^(-y) = e^(x) - e^(-x) + x^(2) + C b) e^(-y) = e^(-x) - e^(x) - x^(2) + C c) e^(-y) = -e^(-x) - e^(x) - x^(2) + C d) e^(y) = e^(-x) + e^(x) + x^(2) + C

If e and e_1 are the eccentricities of the hyperbola xy=c^(2) ,x^(2) -y^(2) =c^(2) "then" e^(2) +e_1^(2) is equal to

If e_(1) and e_(2) are the eccentricites of hyperbola xy=c^(2) and x^(2)-y^(2)=c^(2) , then e_(1)^(2)+e_(2)^(2)=

If x + y = 1 and xy(xy - 2) = 12, then the value of x^4+y^4 is: यदि x + y = 1 और xy(xy - 2) = 12, है, तो x^4+y^4 का मान क्या होगा ?

The solution of the differential equation (dy)/(dx) = (3e^(2x) + 3e^(4x) )/( e^(x) + e^(-x) ) is a) y= e^(3x) + C b) y=2e^(2x) + C c) y= e^(x) + C d) y= e^(4x) + C

If x-y = 13 and xy = 25, then the value of x^2-y^2 =? यदि x-y = 13 और xy = 25 है, तो x^2-y^2 =?