Class 12 Differential Equations · Assertion Reason1 Marksorder_and_degree

Class 12 Maths · Differential Equations · Assertion Reason #22

Assertion (A): The degree of y″ = 1 + √(y′) is 2. Reason (R): Degree is the power of the highest derivative after clearing radicals and fractions in derivatives and obtaining polynomial form.

(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 (A): Both A and R are true, and R correctly explains A.

Squaring gives (y″ − 1)² = y′, whose highest derivative has degree 2. R gives the applicable definition.

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Class 12 Maths · Differential Equations · Assertion Reason #22

✅ Step-by-Step Solution

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