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The differential equation of the simple harmonic motion given by x=A cosnt+α is

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Important Questions on Differential Equations

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Competitive Thinking>Q 33
The family of curves y=easinx, where a is an arbitrary constant, is represented by the differential equation
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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Competitive Thinking>Q 34
The differential equation representing the family of curves y2=2dx+d, where d is a positive parameter, is of
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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Competitive Thinking>Q 35
The order of the differential equation of all parabolas, whose latus rectum is 4a and axis parallel to the X-axis, is
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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Competitive Thinking>Q 36
The degree and order of the differential equation of the family of all parabolas whose axis is X-axis, respectively are
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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Competitive Thinking>Q 37

The differential equation satisfied by the family of curves y=axcos1x+b, where a, b are parameters, is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Competitive Thinking>Q 38

The differential equation representing the family of parabolas having vertex at origin and axis along positive direction of X-axis is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Competitive Thinking>Q 39
The differential equation of the family of parabolas with focus at the origin and the X-axis as axis is
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MHT-CET
IMPORTANT
MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Competitive Thinking>Q 40
If m and n are respectively, the order and degree of the differential equation of the family of parabolas with focus at the origin and X-axis as its axis, then mn-m+n=