Choose the correct matching: (P) (a_{1} frac{d^{2} y}{d x^{2}}+a_{2} y frac{d y}{d x}+a_{3} y=a_{4}) (Q) (a_{1} frac{d^{3}
Question:
Choose the correct matching:
(P) \(a_{1} \frac{d^{2} y}{d x^{2}}+a_{2} y \frac{d y}{d x}+a_{3} y=a_{4}\)
(Q) \(a_{1} \frac{d^{3} y}{d x^{3}}+a_{2} y=a_{3}\)
(R) \(a_{1} \frac{d^{2} y}{d x^{2}}+a_{2} x \frac{d y}{d x}+a_{3} x^{2} y=0\)
(1) Non-linear differential equation
(2) Linear differential equation with constant coefficient
(3) Linear homogeneous differential equation
(4) Non-linear homogeneous differential equation
(5) Non-linear first order differential equation.
(a) P-1, Q-2, R-4
(b) P-1, Q-5, R-2
(c) P-2, Q-1, R-4
(d) P-5, Q-2, R-1.
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