In this page we have *NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations* for
EXERCISE 9.1 . Hope you like them and do not forget to like , social share
and comment at the end of the page.

S.no |
Order |
Degree |

1 |
The highest order derivative present in the differential equation is y^{””}. So, itsorder is four |
The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined |

2 |
The highest order derivative present in the differential equation is dy/dx . So, its order is one. |
It is a polynomial equation in dy/dx . The highest power raised to is 1. Hence, its degree is one |

3 |
The highest order derivative present in the given differential equation is d^{2}s/dt^{2}. So, its order is two |
It is a polynomial equation in d^{2}s/dt^{2} and ds/dt . The power raised to d^{2}s/dt^{2 } is 1.Hence, its degree is one |

4 |
The highest order derivative present in the given differential equation is d^{2}y/dx^{2 } . So,its order is 2 |
The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined |

5 |
The highest order derivative present in the differential equation is d^{2}y/dx^{2 } . So, itsorder is two |
It is a polynomial equation in d^{2}y/dx^{2 } and the power raised to d^{2}y/dx^{2 } is 1.Hence, its degree is one |

6 |
The highest order derivative present in the differential equation is y^{’’’}. So, its order is three |
The given differential equation is a polynomial equation in y^{’’’} , y^{’’} and y^{’} The highest power raised to is 2. Hence, its degree is 2 |

7 |
The highest order derivative present in the differential equation is y^{’’’}. So, its order is three |
The given differential equation is a polynomial equation in y^{’’’} , y^{’’} and y^{’} The highest power raised to is 1. Hence, its degree is 1 |

8 |
The highest order derivative present in the differential equation is y^{’} . So, its order is one. |
The given differential equation is a polynomial equation in y^{’ } and the highest power raised to is one. Hence, its degree is one. |

9 |
The highest order derivative present in the differential equation is y^{’’} . So, its order is two. |
The given differential equation is a polynomial equation in y^{’’} and y^{’} and the highest power raised to is one.Hence, its degree is one. |

10 |
The highest order derivative present in the differential equation is y^{’’} . So , itsorder is two. |
Degree is one |

The degree of the differential equation

(A) 3

(B) 2

(C) 1

(D) not defined

The given differential equation is not a polynomial equation in its derivatives. Therefore,

its degree is not defined.

Hence, the correct answer is D.

The order of the differential equation

(A) 2

(B) 1

(C) 0

(D) not defined

The highest order derivative present in the given differential equation is d

So, the correct answer is A.

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**Notes**- Differential equations
- General and Particular Solutions of Differential equations
- Method of solving for Differential equations

**NCERT Solutions & Assignments**

Class 12 Maths Class 12 Physics Class 12 Chemistry Class 12 Biology