CUET Mathematics - If the solution curve of the differentiable equation dy/dx + 2y = e^3x, passes through the point (0, 6/5), then the value of y(_e 2) is: | PYQs + Solutions

CUET Mathematics 2022 6 Aug Shift 2

Calculus

Hard

$\frac{37}{20}$

$\frac{1}{5}$

$\frac{11}{5}$

$1$

✅ Correct Option: 1

Related questions:

23 Aug Shift 1

Match List - I with List - II

List - I (Differential Equation)	List - II (Degree)
A. $\left[1 + (y')^2\right]^2 = y''$	I. $2$
B. $\left[1 + (y'')^3\right]^{\frac{1}{2}} = (y')^3$	II. $4$
C. $(y''')^2 + y'' + 3y' + 5y = e^x$	III. $1$
D. $\left[1 + (y')^3\right]^{\frac{1}{2}} = (y'')^2$	IV. $3$

Choose the correct answer from the option given below:

22 May Shift 3

The differential equation $y = xp + \sqrt{x^2 p^3 + 4}$ where $p = \frac{dy}{dx}$ is :

(A) of order 1

(B) of degree 1

(D) of degree 3

Choose the correct answer from the options given below :

14 May Shift 1

The integrating factor of the differential equation $(x log_e x)\frac{dy}{dx} + y = 2log_e x$ is

CUET Mathematics 2022 6 Aug Shift 2 PYQs