# A-AS Level (CIE) Mathematics Paper-5: Specimen Questions with Answers 15 - 17 of 20

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## Question 15

### Question

MCQ▾The value of the integral is ________

### Choices

Choice (4) | |
---|---|

a. | 0 |

b. | |

c. | |

d. |

### Answer

c.### Explanation

**Evaluation of Definite Integrals by Substitution**:

Let and let be continuous over an interval , and let be continuous over the range of . Then,

Let

When and

given,

## Question 16

### Question

MCQ▾The degree of the differential equation is

### Choices

Choice (4) | |
---|---|

a. | 6 |

b. | 2 |

c. | 3 |

d. | 4 |

### Answer

a.### Explanation

**Degree of Differential Equation**:

The degree of the differential equation is the power of the highest order derivative, where the original equation is represented in the form of a polynomial equation in derivatives such as , and so on.

Suppose is a differential equation, so the degree of this equation here is .

Equation:

squaring,

Here degree

## Question 17

### Question

MCQ▾The order of the differential equation whose general solution is given by , where are arbitrary Constant is________.

### Choices

Choice (4) | |
---|---|

a. | |

b. | 5 |

c. | 4 |

d. | 3 |

### Answer

d.### Explanation

**Order of Differential Equation**:

The order of the differential equation is the order of the highest order derivative present in the equation. Here some examples for different orders of the differential equation are given.

, The order of the equation is

. The order is

. The order is

where are arbitrary Constant. ( Constant)

order