Home
Class 12
MATHS
If y^(2)=p(x) is a polynomial of degree ...

If `y^(2)=p(x)` is a polynomial of degree 3, then `2(d)/(dx)(y^(3)(d^(2)y)/(dx^(2)))` is equal to

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(dx^2)) is equal to P^(x)+P^(prime)(x) (b) P^(x)dotP^(x) P(x)dotP^(x) (d) a constant

If m, n are order and degree of differential equation y(dy)/(dx) + x^(3)((d^(2)y)/(dx^(2)))-xy = cos x then

Number of values of m in N for which y=e^(m x) is a solution of the differential equation (d^3y)/(dx^3)-3(d^2y)/(dx^2)-4(dy)/(dx)+12 y=0 (a) 0 (b) 1 (c) 2 (d) More than 2

Number of values of m in N for which y=e^(m x) is a solution of the differential equation (d^3y)/(dx^3)-3(d^2y)/(dx^2)-4(dy)/(dx)+12 y=0 (a) 0 (b) 1 (c) 2 (d) More than 2

The degree of the differential equation [1+((dy)/(dx))^(2)]^(3//2)=(d^(2)y)/(dx^(2))"is"

Write degree of the differential equation (1+(dy)/(dx))^3=((d^2y)/(dx^2))^2 .

The order and degree of differential equation: [1+((dy)/(dx))^(2)]=(d^(2)y)/(dx^(2)"" are

The order and degree of the differential equation rho=({1+((dy)/(dx))^(2)}^(3//2))/((d^(2)y)/(dx^(2))) are respectively

Show that y=e^(2x) is a solution of differential equation (d^(2)y)/(dx^(2))+(dy)/(dx)-6y=0

Verify that y=ae^(3x)+be^(-x) is a solution of differential equation (d^2y)/(dx^2)-2(dy)/(dx)-3y=0

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  2. The ratio of the roots of the equation x^(2)+alphax+alpha+2=0 is 2. fi...

    Text Solution

    |

  3. If y^(2)=p(x) is a polynomial of degree 3, then 2(d)/(dx)(y^(3)(d^(2)y...

    Text Solution

    |

  4. Let A=[(1,-1,1),(2,1,-3),(1,1,1)] and 10 B=[(4,2,2),(-5,0,alpha),(1,-2...

    Text Solution

    |

  5. The equation of perpendicular bisectors of the sides AB and AC of a tr...

    Text Solution

    |

  6. Solve for x :(5+2sqrt(6))^(x^2-3)+(5-2sqrt(6))^(x^2-3)=10.

    Text Solution

    |

  7. In a parallelogram as shown in the figure (a != b) Prove that the ...

    Text Solution

    |

  8. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  9. If g(x)=2f(2x^(2)-3x^(2))+f(6x^(2)-4x^(3)-x), AA x in R and f''(x) gt ...

    Text Solution

    |

  10. Sum of roots of equations f(x) - g(x)=0 is (a)0 (b) 2alpha (c) -2al...

    Text Solution

    |

  11. The function f(x)=(4-x^2)/(4x-x^3) (a) discontinuous at only one poin...

    Text Solution

    |

  12. Let f(x)= x^2+2ax+b, g(x)=cx^2+2dx+1 be quadratic equation whose grap...

    Text Solution

    |

  13. Let f(x)=x^2+2a x+b ,g(x)=c x^2+2dx+1 be quadratic expressions whose g...

    Text Solution

    |

  14. If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx)is equal to

    Text Solution

    |

  15. All the values of ' a ' for which the quadratic expression a x^2+(a-2)...

    Text Solution

    |

  16. If If {:(" ""x"),(y=""),(" ""x"),(" ""a+")...

    Text Solution

    |

  17. int ( 1+ x + sqrt( x+ x^(2)))/(( sqrt(x) + sqrt( 1+x))dx is equal to

    Text Solution

    |

  18. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then find t...

    Text Solution

    |

  19. "If "xsqrt(1+y)+ysqrt(1+x)=0," prove that "(dy)/(dx)=-(1)/((x+1)^(2)).

    Text Solution

    |

  20. Harmonic conjugate of the point (5, 13) with respect to (2,-5) and (3,...

    Text Solution

    |