Home
Class 11
MATHS
If y=ae^(mx)+be^(-mx), then (d^2y)/dx...

If `y=ae^(mx)+be^(-mx)`, then `(d^2y)/dx^2-m^2y ` is equals to (a).`m^2(ae^(mx)-be^(mx))` (b).1 (c).0 (d).None of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If y=ae^(mx)+be^(-mx) then (d^2y)/(dx^2) is

if y=(A+Bx)e^(mx)+(m-1)^-1 e^x then (d^2y)/(dx^2)-2m(dy)/(dx)+m^2y is equal to:

If y=sin(m\ sin^(-1)x) , then (1-x^2)y_2-x y_1 is equal to m^2y (b) m y (c) -m^2y (d) none of these

if y=ae^(x)+be^(-3x)+c , then the value of ((d^(3)y)/(dx^(3))+2(d^(2)y)/(dx^(2)))/((dy)/(dx)) is

If the distance of a given point (alpha,beta) from each of two straight lines y = mx through the origin is d, then (alpha gamma- beta x)^(2) is equal to (a) x^(2) +y^(2) (b) d^(2)(x^(2)+y^(2)) (c) d^(2) (d) none of these

y=ae^(mx)+be^(-mx) satisfies which of the following differential equation?

If y=mx+6 is a tangent to both the parabolas y^2=8x and x^2=3by , then b is equal to :

If the line y=mx , meets the lines x+2y=1 and 2x-y+3=0 at one point only then m=?

If the line y=mx meets the lines x+2y-1=0 and 2x-y+3=0 at the same point, then m is equal to

Find area parallelogram lines y=mx, y=mx+1, y=nx and y=nx+1 equal to:

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Point A and B are in the first quadrant; point O is the origin. If the...

    Text Solution

    |

  2. In a A B C ,A-=(alpha,beta),B-=(1,2),C-=(2,3), point A lies on the li...

    Text Solution

    |

  3. If y=ae^(mx)+be^(-mx), then (d^2y)/dx^2-m^2y is equals to (a)....

    Text Solution

    |

  4. The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the ...

    Text Solution

    |

  5. The points (0,8/3),(1,3) and (82 ,30) are the vertices of (A) an obtu...

    Text Solution

    |

  6. Consider the triangle whose vertices are (0,0),(5,12) and (16 ,12) Fi...

    Text Solution

    |

  7. A Point A divides the join of P(-5,1) and Q(3.5) in the ratio k:1. The...

    Text Solution

    |

  8. Find the equation of the circle having center at (2,3) and which tou...

    Text Solution

    |

  9. If the lines x+y=6 and x+2y=4 are diameters of the circle which passes...

    Text Solution

    |

  10. Find the equation of the circle with radius 5 whose center lies on the...

    Text Solution

    |

  11. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

    Text Solution

    |

  12. Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

    Text Solution

    |

  13. If x^2+y^2-2x+2a y+a+3=0 represents the real circle with nonzero radiu...

    Text Solution

    |

  14. Find the equation of the circle having radius 5 and which touches line...

    Text Solution

    |

  15. If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle...

    Text Solution

    |

  16. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  17. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  18. Tangents are drawn to x^2+y^2=1 from any arbitrary point P on the line...

    Text Solution

    |

  19. Find the length of the tangent drawn from any point on the circle x^2+...

    Text Solution

    |

  20. Find the locus of a point which moves so that the ratio of the lengths...

    Text Solution

    |