Degree of the differential equation a((dy)/(dx))² + b(dy)/(dx) = c cannot be determined. Assertion (A): Degree of the differential equation a((dy)/(dx))²…

Answer: (d) Assertion (A) is false, but Reason (R) is true. Correct: (d)

Mathematics20251 markAssertion-reasonDifferential Equations

Study the Assertion and Reason and choose the correct option.

Degree of the differential equation a((dy)/(dx))² + b(dy)/(dx) = c cannot be determined. Assertion…

Assertion: Degree of the differential equation $a\left(\frac{dy}{dx}\right)^2 + b\frac{dy}{dx} = c$ cannot be determined.

Reason: If each term involving derivatives of a differential equation is a polynomial (or can be expressed as a polynomial) then the highest exponent of the highest order derivative is called the degree of the differential equation.

Assertion (A): Degree of the differential equation $a\left(\frac{dy}{dx}\right)^2 + b\frac{dy}{dx} = c$ cannot be determined. Reason (R): If each term involving derivatives of a differential equation is a polynomial (or can be expressed as a polynomial) then the highest exponent of the highest order derivative is called the degree of the differential equation.

(a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
(b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(c)Assertion (A) is true, but Reason (R) is false.
(d)Assertion (A) is false, but Reason (R) is true.

Answer

Official answer key

Correct option: (d)

Answer: (d) Assertion (A) is false, but Reason (R) is true.