{"id":20702,"date":"2020-01-22T11:47:35","date_gmt":"2020-01-22T06:17:35","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=20702"},"modified":"2021-07-02T15:28:00","modified_gmt":"2021-07-02T09:58:00","slug":"2nd-puc-maths-question-bank-chapter-9-ex-9-1","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/2nd-puc-maths-question-bank-chapter-9-ex-9-1\/","title":{"rendered":"2nd PUC Maths Question Bank Chapter 9 Differential Equations Ex 9.1"},"content":{"rendered":"

Students can Download Maths Chapter 9 Differential Equations Ex 9.1 Questions and Answers, Notes Pdf, 2nd PUC Maths Question Bank with Answers<\/a>\u00a0helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.<\/p>\n

Karnataka 2nd PUC Maths Question Bank Chapter 9 Differential Equations Ex 9.1<\/h2>\n

2nd PUC Maths Differential Equations NCERT Text Book Questions and Answers Ex 9.1<\/h3>\n

Determine order and degree (if defined) of differential equations given in
\nExercises 1 to 10.<\/p>\n

Question 1.
\n\\(\\frac { d^{ 4 }y }{ dx^{ 4 } } +\\sin \\left( y^{ \\prime \\prime \\prime } \\right) =0\\)
\nAnswer:
\nhigher order is \\(\\frac{\\mathrm{d}^{4} \\mathrm{y}}{\\mathrm{d} \\mathrm{x}^{4}}\\) so order is 4
\nAs it is not a polynomial in \\(\\frac{d y}{d x}\\) degree is not defined.<\/p>\n

Question 2.
\ny’+5y = 0
\nAnswer:
\n\\(\\left(\\frac{d y}{d x}\\right)+5 y=0\\)
\nhere order is 1 and hence degree is 1.<\/p>\n

\"KSEEB<\/p>\n

Question 3.
\n\\(\\left(\\frac{d s}{d t}\\right)^{4}+3 s \\frac{d^{2} s}{d t^{2}}=0\\)
\nAnswer:
\n\\(\\left(\\frac{\\mathrm{ds}}{\\mathrm{dt}}\\right)^{4}+3 \\mathrm{s}\\left(\\frac{\\mathrm{d}^{2} \\mathrm{s}}{\\mathrm{dt}^{2}}\\right)^{1}=0\\)
\nhere order is 2 and hence degree is 1.<\/p>\n

Question 4.
\n\\(\\left(\\frac{\\mathbf{d}^{2} \\mathbf{y}}{\\mathbf{d x}^{2}}\\right)^{2}+\\cos \\left(\\frac{\\mathbf{d} \\mathbf{y}}{\\mathbf{d x}}\\right)=\\mathbf{0}\\)
\nAnswer:
\nhere order is 2 .As it is not a polynomial in \\(\\frac{\\mathrm{d} y}{\\mathrm{d} x}\\),degree is not defined.<\/p>\n

Question 5.
\n\\(\\frac{d^{2} y}{d x^{2}}=\\cos 3 x+\\sin 3 x\\)
\nAnswer:
\n\\(\\left(\\frac{d^{2} y}{d x^{2}}\\right)^{1}=\\cos 3 x+\\sin 3 x\\)
\nhere order is 2 and hence degree is 1.<\/p>\n

Question 6.
\n(y”\u2019)2<\/sup> + (y”)3<\/sup> + (y\u2019)4<\/sup> + y5<\/sup> = 0
\nAnswer:
\nhere the order is 3 and hence degree is 2.<\/p>\n

Question 7.
\ny”\u2019 + 2y’+y’ = 0
\nAnswer:
\n(y”) + 2y’ + y’ = 0
\nhere the order is 3 and hence the degree is 1.<\/p>\n

\"KSEEB<\/p>\n

Question 8.
\ny’ + y = ex
\n<\/sup>Answer:
\n(y’) + y = ex
\n<\/sup>here the order is 1 and hence the degree is 1.<\/p>\n

Question 9.
\ny’ + (y’)2<\/sup>+2y = 0
\nAnswer:
\n(y”)’ + (y’)2<\/sup> +2y = 0
\nhere the order is 2 and hence degree is 1.<\/p>\n

Question 10.
\ny’+2y’ + sin y = 0
\nAnswer:
\n(y”)’ + 2y’ + sin y = 0
\ndegree is 2 and hence degree is 1.<\/p>\n

Question 11.
\n\\(\\left(\\frac{\\mathbf{d}^{2} \\mathbf{y}}{\\mathbf{d x}^{2}}\\right)^{3}+\\left(\\frac{\\mathbf{d y}}{\\mathbf{d x}}\\right)^{2}+\\sin \\left(\\frac{\\mathbf{d y}}{\\mathbf{d x}}\\right)+\\mathbf{1}=\\mathbf{0}\\)
\ndegree is ………….
\n(A) 3
\n(B) 2
\n(C) 1
\n(D) not defined
\nAnswer:
\nSince the equation is not a polynomial in
\n\\(\\frac{d y}{d x}\\) degree is not defined,
\nhence the answer is (D)<\/p>\n

\"KSEEB<\/p>\n

Question 12.
\nThe order of the differential equation
\n\\(2 x^{2} \\frac{d^{2} y}{d x^{2}}-3 \\frac{d y}{d x}+y=0\\)
\n(A) 2
\n(B) 1
\n(C) 0
\n(D) not defined
\nAnswer:
\nHere the highest order is 2.
\nhence the order is 2.
\nhence the correct answer is (A)<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can Download Maths Chapter 9 Differential Equations Ex 9.1 Questions and Answers, Notes Pdf, 2nd PUC Maths Question Bank with Answers\u00a0helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations. Karnataka 2nd PUC Maths Question Bank Chapter 9 Differential Equations Ex 9.1 2nd PUC Maths Differential Equations …<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[82],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/20702"}],"collection":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=20702"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/20702\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=20702"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=20702"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=20702"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}