Related InterviewSolutions

• How can students start practicing Differential Equations Class 12 Mock Test?
• Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:y = cos x + C : y’+ sin x = 0
• \((\frac{d^2y}{dx^2})^3 + (\frac{dy}{dx})^2 + sin(\frac{dy}{dx}) + 1 = 0\) degree is …………. (A) 3 (B) 2 (C) 1 (D) not defined
• The order of the differential equation\(2x^2\frac{d^2y}{dx^2} - 3\frac{dy}{dx} + y = 0\)(A) 2 (B) 1 (C) 0 (D) not defined
• Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:y5= x2 + 2x + C : y’ – 2x – 2 = 0
• Find the order and degree of the following differential equations :(i) (d2y/dx2)2 + (dy/dx) = 0(ii) (dy/dx)3 + \(\frac{1}{\frac{dy}{dx}}\) = 2
• Family y = Ax + A3 of curves is represented by the differential equation of degree :(A) 1 (B) 2 (C) 3 (D) 4
• The degree of the differential equation (d3y/dx3) + 7(d2y/dx2)3 = x2 ∙ log (d2y/dx2) is:(A) 2(B) 3(C) 1(D) degree doesn’t exist
• Which of the following differential equations has y = x as one of its particular solution?(A) \(\frac{d^2y}{dx^2} - x^2\frac{dy}{dx} + xy = x\)(B) \(\frac{d^2y}{dx^2} + x\frac{dy}{dx} + xy = x\)(C) \(\frac{d^2y}{dx^2} - x^2\frac{dy}{dx} + xy = 0\)(D) \(\frac{d^2y}{dx^2} + x^2\frac{dy}{dx} + xy = 0\)
• Find the order and degree of the following differential equations :(i) (d2y/dx2)3 + y(dy/dx)2 + y5 = 0(ii) x(dy/dx) + 3/(dy/dx) = y2