`1,2`
`2,1`
`1,4`
`4,1`
`3`
`2`
`2/3`
Not defined
`1, 2`
`2, 2`
`1, 3`
`1, 4`
`2`
`3`
`4`
`5`
`1` and `\frac { 1 }{ 2 }`
`2` and `1`
`1` and `1`
`1` and `2`
`1` and `1/2`
`2` and `1`
`1` and `1`
`1` and `2`
Only I
Only II
Only III
None of these
`5`
`4`
`3`
`2`
`(x^2 -2y^2) p^2-4pxy-x^2=0`
`(x^2-2y^2)p^2 + 4 pxy -x^2=0`
`(x^2+ 2y^2) p^2 - 4pxy-x^2=0`
`(x^2+ 2y^2) p^2 - 4 pxy+ x^2=0`
`2xy (dy)/(dx) = x^2 - y^2`
`2xy (dy)/(dx)= y^2 - x^2`
` 2xy (dy)/(dx) = x^2 + y^2`
` 2xy (dy)/(dx) = x^2 + y^2 = 0`
`(d^3y)/(dx^3) = 0`
`(d^2x)/(dy^2) = C`
`(d^3x)/(dy^3) = 1`
`(d^3y)/(dx^3) = C`
`(d^2y)/(dx^2)+y(dy)/(dx)+x = 0`
`(d^2y)/(dx^2)+y = 0`
`(d^2y)/(dx^2)-y = 0`
`(d^2y)/(dx^2)+x = 0`
`y= 2(e^x + x- 1)`
`y= 2(e^x - x- 1)`
`y= 2(e^x - x+ 1)`
`y= 2(e^x + x+ 1)`
`(2y-1)(d^2y)/(dx^2)+2 ((dy)/(dx))^2+cos x=0`
`(d^2 y)/(dx^2) -2y((dy)/(dx))^2+cos x=0`
`(2y-1) (d^2y)/(dx^2)-2 ((dy)/(dx))^2+cos x=0`
None of these
` y (d^2 y)/(dx^2) + ((dy)/(dx))^2 = 0`
` y (d^2 y)/(dy^2) + ((dx)/(dy))^2 = 0`
` y (d^2 y)/(dx^2) + (dy)/(dx) = 0`
None of these
`(x^2 - y^2) (dy)/(dx) -2xy =0`
`(x^2 - y^2) (dy)/(dx) + 2xy =0`
`(x^2 - y^2) (dy)/(dx) -xy = 0`
`(x^2 - y^2) (dy)/(dx) +xy =0`
`\ frac {d^3y}{dx^3}=0`
`x^2 \ frac {d^2y}{dx^2}-2x\ frac {dy}{dx}+2y=0`
`\ frac {d^2y}{dx^2}=0`
`x^2 \ frac {d^2y}{dx^2}+y=0`
`sin^(-1) y = sin^(-1) x + C`
`2sin^(-1) y = sqrt(1- x^2) + sin^(-1) x + C`
`2sin^(-1) y = xsqrt(1- x^2) + sin^(-1) x + C`
`2sin^(-1) y = x sqrt(1- x^2) + cos^(-1) x + C`
`y + e^x = C`
`y - e^(-x) = C`
`y + e^(-x) = C`
`y - e^(x) = C`
`y=e^(-x) + C`
`y=-e^(-x) + C`
`y = e^(x) + C`
`y = -e^(x) + C`
`3`
`2`
`1`
`0`
`xy =C`
`y =Cx`
`x+y = C`
`x- y =C`
`x = Cy`
`y^2 = Cx`
`x + xy -Cy =0`
None of these
`xy = C`
`x = Cy`
`y =Cx`
None of these
`y^3 x = y^2/2 + C`
`y^3 = (xy^2)/2 + C`
` x =(1 + 2 Cy)/y^3`
` x = C/y^3`
`ye^(2sqrtx) = 2sqrtx + c`
`ye^(-2sqrtx) = sqrtx + c`
` y = sqrtx`
` y = 3 sqrtx`
` - ((d^2 y)/(dx^2))^(-1) ((dy)/(dx))^(-3)`
`((d^2 y)/(dx^2))^(-1) ((dy)/(dx))^(-2)`
`- ((d^2 y)/(dx^2)) ((dy)/(dx))^(-3)`
`((d^2 y)/(dx^2))^(-1)`