IGNOU BPHCT 131 2026 - | IGNOU Academy

Question

$\frac{d^2y}{dx^2} + 11 \frac{dy}{dx} + 24y = 0$

19 Jan 2026

Answer :

Word Count : 154

The given differential equation is: [ \frac{d^2y}{dx^2} + 11 \frac{dy}{dx} + 24y = 0 ] Assume a solution of the form (y = e^{mx}). Then [ \frac{d^2y}{dx^2} = m^2 e^{mx}, \quad \frac{dy}{dx} = m e^{mx} ] Substitute into the differential equation: [ m^2 e^{mx} + 11 m e^{mx} + 24 e^{mx} = 0 ] Factor out (e^{mx} \neq 0): [

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