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9. Differential Equations
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Q11 of 118 Page 391

Which of the following differential equations has y = c1ex + c2e–x as the general solution?

It is given that y = c1ex + c2e-x


Now, differentiating both sides w.r.t. x, we get,



Again, differentiating both sides w.r.t. x, we get,





Therefore, the required differential equation is .

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Form the differential equation of the family of hyperbolas having foci on x-axis and centre at origin.

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Form the differential equation of the family of circles having centre on y-axis and radius 3 units.

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Which of the following differential equations has y = x as one of its particular solution?

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For each of the differential equations in question, find the general solution:

Questions · 118
9. Differential Equations
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