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Class 12 Differential Equations · Assertion Reason1 Marksseparable_differential_equations

Class 12 Maths · Differential Equations · Assertion Reason #25

Assertion (A): The general solution of y′ = y/x is y = Cx, x ≠ 0. Reason (R): The differential equation y″ + y = 0 has order 2.

(A) Both A and R are true, and R correctly explains A.
(B) Both A and R are true, but R does not correctly explain A.
(C) A is true but R is false.
(D) A is false but R is true.

✅ Step-by-Step Solution

Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.

Solving (y/x)′ = 0 proves A including C = 0. R is true but concerns a different equation.

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