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AUTHOR’S FOREWORD:1. Every student heartily wishes to show his mettle in 11th class and 12th class. He will score cent percent marks if he works according to a perfect plan.2. The student must not simply get the answers by heart. He must cultivate the habit of reading an answer by understanding its meaning. Then he has to write the answer on a sheet of paper without referring to the book.3. The students must have a clear idea of the points and their order for each answer.4. A rocket cannot go into the space by itself. It needs machines, fuel and above all time sense. Then it enters the orbit under the supervision of the efficient scientists and serves the needs of the people.5. In one sense the students are also like rockets. In order to reach heights they must have intelligence, memory, concentration and commitment. Remember that they are your parents and teachers to guide you properly.6. Delay not. Work hard to achieve spectacular success.ABOUT THIS E-BOOK:1. This E-Book provides sufficiently strong base to our students for the purpose of Public Examinations, All Engineering Entrance Exams.2. This E-Book begins with Contents, Concepts and Formulae and Problems with Solutions.3. Answers provided to Very Short Answer Type Questions, Short Answer Type Questions and Long Answer Type Questions.4. Well labeled diagrams are drawn wherever necessary.5. This E-Book is useful to who prepare Class-I competitive exams like Civil Services, Bank Probationary Officers and Staff Selection Commission etc.6. We hope that this E-Book will grab the hearts of the students and teaching faculty as usual.7. We cordially invite any constructive suggestions in getting this book in a better and improved way. Your suggestions will be incorporated in subsequent editions.CONTENTS OF THIS E-BOOK:1. Differential Equations Synopsis2. IMP Very Short Answer Type Questions on Differential Equations3. IMP Short Answer Type Questions on Differential Equations4. IMP Long Answer Type Questions on Differential Equations5. Differential Equations IMP Problems with Solutions-16. Differential Equations IMP Problems with Solutions-27. Areas of Closed Regions Synopsis8. Areas of Closed Regions IMP Problems with SolutionsWISHING YOU ALL THE BEST!