{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2024-03-15T11:10:39.100Z","dateModified":"2024-03-18T16:07:02.661Z","typicalAgeRange":"11-18","educationalLevel":"CUET (PG)","assesses":"Engineering Mathematics - Differential Equations","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Differential Equations"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Engineering Mathematics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"CUET (PG)"}],"name":"Quiz about Differential Equations","about":{"@type":"Thing","name":"Engineering Mathematics - Differential Equations"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Differential Equations","text":"If the complete solution of the ordinary differential equation $$\\frac{d^2y}{dx^2}+a\\frac{dy}{dx}+\\beta y=0\\;is\\;y=c_1e^{-x}+c_2e^{-3x},$$ Then the values of $$\\propto$$ and B are:}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"\"\""},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

\$\\beta=4,\\propto=3\$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

\$\\beta=3,\\propto=4\$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

\$\\beta=3,\\propto=3\$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

\$\\beta=4,\\propto=4\$

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

\$\\beta=3,\\propto=4\$

","comment":{"@type":"Comment","text":"\"\""},"answerExplanation":{"@type":"comment","text":"The correct option is(B):"}}}]}

If the complete solution of the ordinary differential equation\(\frac{d^2y}{dx^2}+a\frac{dy}{dx}+\beta y=0\;is\;y=c_1e^{-x}+c_2e^{-3x},\)Then the values of \(\propto\) and B are:

The Correct Option is B

Solution and Explanation

Top Questions on Differential Equations

Questions Asked in CUET PG exam

If the complete solution of the ordinary differential equation
\(\frac{d^2y}{dx^2}+a\frac{dy}{dx}+\beta y=0\;is\;y=c_1e^{-x}+c_2e^{-3x},\)
Then the values of \(\propto\) and B are: