Home
Class 12
MATHS
In each of the following examples,verify...

In each of the following examples,verify that the given function is a solution of the differential equation.(ii)`y=e^(ax)sin bx,(d^2y)/dx^2-2a dy/dx+(a^2+b^2)y=0`

Promotional Banner

Topper's Solved these Questions

  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos

  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos

Similar Questions

Explore conceptually related problems

In each of the following examples,verify that the given function is a solution of the differential equation. (i)x^2+y^2=r^2,x dy/dx+rsqrt(1+(dy/dx)^2)=y

In each of the following examples,verify that the given function is a solution of the differential equation.(v) x^2=2y^2log y,x^2+y^2=xy dx/dy .

In each of the following examples,verify that the given function is a solution of the differential equation. y=a. e^x+b.e^(-x)+x^2, frac{d^2y}{dx^2}+x^2=y+2

In each of the following examples verify that the given function is a solution of the corresponidng differential equation(10) xy=Ae^x+Be^(-x)+x^2,xd^2y/dx^2+2dy/dx-xy+x^2-2=0

In each of the following examples verify that the given function is a solution of the corresponding differential equation(1) y= Ae^(3x)+Be^(-3x),d^2y/dx^2-9=0

In each of the following examples verify that the given function is a solution of the corresponding differential equation y=Ae^x+Be^x , frac{d^2y}{dx^2} -3 dy/dx+2y=0

In each of the following examples verify that its given expression is a solution of the corresponding differential equation(5) y=(a+b)/x,x(d^2y)/dx^2+2dy/dx=0

In each of the following examples verify that the given function is a solution of the corresponding differential equation y=Ax+Bx^2,x^2 frac{d^2y}{dx^2}-2xdy/dx+2y=0

In each of the following examples verify that the given function is a solution of the corresponding differential equation(2) y=A cos(log x)+B sin (log x),x^2 d^2y/dx^2+x dy/dx+y=0

The solution of the differential equation (dy)/(dx)+sin^2 y=0 is

CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. In each of the following examples verify that its given expression is ...

    Text Solution

    |

  2. In each of the following examples,verify that the given function is a ...

    Text Solution

    |

  3. In each of the following examples,verify that the given function is a ...

    Text Solution

    |

  4. In each of the following examples,verify that the given function is a ...

    Text Solution

    |

  5. In each of the following examples,verify that the given function is ...

    Text Solution

    |

  6. In each of the following examples,verify that the given function is a ...

    Text Solution

    |

  7. Solve the following differential equations.(i)log(dy/dx)=2x+3y

    Text Solution

    |

  8. Solve the following differential equations.dy/dx=x^2y+y

    Text Solution

    |

  9. Solve the following differential equation (1)dy/dx=(1+y^2)/(1+x^2)

    Text Solution

    |

  10. Solve the following differential equation (2)log(dy/dx)=2x+3y

    Text Solution

    |

  11. Solve the following differential equation (3)y-x dy/dx=0

    Text Solution

    |

  12. Solve the following differential equation (4)sec^2xtany dx+sec^2 y tan...

    Text Solution

    |

  13. Solve the following differential equation (5)(x+1)dy/dx-1=2e^(-y),when...

    Text Solution

    |

  14. Solve the following differential equation (6)cos x cos y dy-sin x sin ...

    Text Solution

    |

  15. Solve the following differential equation (7)dy/dx=-k,where k is a con...

    Text Solution

    |

  16. Solve the following differential equation (cos^2ydy)/x+(cos^2xdx)/y=0

    Text Solution

    |

  17. Solve the following differential equation y^3-dy/dx=x^2 dy/dx

    Text Solution

    |

  18. Solve the following differential equation (10)2e^(x+2y)dx-3dy=0

    Text Solution

    |

  19. Solve the following differential equation (11)dy/dx=e^(x+y)+x^2 e^y.

    Text Solution

    |

  20. For each of the following differential equation find the particular so...

    Text Solution

    |