February 3, 2024

Explore comprehensive NCERT Solutions for Class 12 Science Maths Chapter 3 on Differential Equations, featuring clear and straightforward step-by-step explanations. Widely acclaimed among class 12 Science students, these Maths Differential Equations Solutions are a valuable resource for efficiently completing homework assignments and preparing for exams. Free access to all questions and answers from Chapter 3 of the NCERT Book for class 12 Science Maths is available here, ensuring a convenient and effective study experience. Page No 382: Question 1: Determine order and degree(if defined) of differential equation  ANSWER: The highest order derivative present in the differential equation is. Therefore, its order is four. The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined. Page No 382: Question 2: Determine order and degree(if defined) of differential equation  ANSWER: The given differential equation is: The highest order derivative present in the differential equation is. Therefore, its order is one. It is a polynomial equation in. The highest power raised tois 1. Hence, its degree is one. Page No 382: Question 3: Determine order and degree(if defined) of differential equation  ANSWER: The highest order derivative present in the given differential equation is. Therefore, its order is two. It is a polynomial equation inand. The power raised tois 1. Hence, its degree is one. Page No 382: Question 4: Determine order and degree(if defined) of differential equation  ANSWER: The highest order derivative present in the given differential equation is. Therefore, its order is 2. The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined. Page No 382: Question 5: Determine order and degree(if defined) of differential equation  ANSWER: The highest order derivative present in the differential equation is. Therefore, its order is two. It is a polynomial equation inand the power raised tois 1. Hence, its degree is one. Page No 382: Question 6: Determine order and degree(if defined) of differential equation  ANSWER: The highest order derivative present in the differential equation is. Therefore, its order is three. The given differential equation is a polynomial equation in. The highest power raised tois 2. Hence, its degree is 2. Page No 382: Question 7: Determine order and degree(if defined) of differential equation  ANSWER: The highest order derivative present in the differential equation is. Therefore, its order is three. It is a polynomial equation in. The highest power raised tois 1. Hence, its degree is 1. Page No 383: Question 8: Determine order and degree(if defined) of differential equation  ANSWER: The highest order derivative present in the differential equation is. Therefore, its order is one. The given differential equation is a polynomial equation inand the highest power raised tois one. Hence, its degree is one. Page No 383: Question 9: Determine order and degree(if defined) of differential equation  ANSWER: The highest order derivative present in the differential equation is. Therefore, its order is two. The given differential equation is a polynomial equation inandand the highest power raised tois one. Hence, its degree is one. Page No 383: Question 10: Determine order and degree(if defined) of differential equation  ANSWER: The highest order derivative present in the differential equation is. Therefore, its order is two. This is a polynomial equation inandand the highest power raised tois one. Hence, its degree is one. Page No 383: Question 11: The degree of the differential equation is (A) 3 (B) 2 (C) 1 (D) not defined ANSWER: The given differential equation is not a polynomial equation in its derivatives. Therefore, its degree is not defined. Hence, the correct answer is D. Page No 383: Question 12: The order of the differential equation is (A) 2 (B) 1 (C) 0 (D) not defined ANSWER: The highest order derivative present in the given differential equation is. Therefore, its order is two. Hence, the correct answer is A. Page No 385: Question 1: ANSWER: Differentiating both sides of this equation with respect to x, we get: Now, differentiating equation (1) with respect to x, we get: Substituting the values ofin the given differential equation, we get the L.H.S. as: Thus, the given function is the solution of the corresponding differential equation. Page No 385: Question 2: ANSWER: Differentiating both sides of this equation with respect to x, we get: Substituting the value ofin the given differential equation, we get: L.H.S. == R.H.S. Hence, the given function is the solution of the corresponding differential equation. Page No 385: Question 3: ANSWER: Differentiating both sides of this equation with respect to x, we get: Substituting the value ofin the given differential equation, we get: L.H.S. == R.H.S. Hence, the given function is the solution of the corresponding differential equation. Page No 385: Question 4: ANSWER: Differentiating both sides of the equation with respect to x, we get: L.H.S. = R.H.S. Hence, the given function is the solution of the corresponding differential equation. Page No 385: Question 5: ANSWER: Differentiating both sides with respect to x, we get: Substituting the value ofin the given differential equation, we get: Hence, the given function is the solution of the corresponding differential equation. Page No 385: Question 6: ANSWER: Differentiating both sides of this equation with respect to x, we get: Substituting the value ofin the given differential equation, we get: Hence, the given function is the solution of the corresponding differential equation. Page No 385: Question 7: ANSWER: Differentiating both sides of this equation with respect to x, we get:  L.H.S. = R.H.S. Hence, the given function is the solution of the corresponding differential equation. Page No 385: Question 8: ANSWER: Differentiating both sides of the equation with respect to x, we get: Substituting the value ofin equation (1), we get: Hence, the given function is the solution of the corresponding differential equation. Page No 385: Question 9: ANSWER: Differentiating both sides of this equation with respect to x, we get: Substituting the value ofin the given differential equation, we get: Hence, the given function is the solution of the corresponding differential equation. Page No 385: Question 10: ANSWER: Differentiating both sides of this equation with respect to x, we get: Substituting the value ofin the given …

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