Differential Equations · Class 12 · CBSE · Science Mathematics
The solution of the differential equation dy/dx = 2xy satisfying y(0) = 3 is:
Practice question from Differential Equations (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
easy · MCQ · Q-DBE80D
The solution of the differential equation dy/dx = 2xy satisfying y(0) = 3 is:
- A.y = 3e^(x²)Correct answer
- B.y = 3e^(2x)
- C.y = 3x²
- D.y = e^(3x²)
Solution
Separating variables gives . Hence , so ; using gives .
More from Differential Equations
- For the differential equation ((d²y/dx²)^3) + ((dy/dx)^5) + y = 0, what are its order and degree?
- Find the solution of dy/dx = (1 + y²)/(1 + x²), given that y = 0 when x = 0.
- The general solution of dy/dx + y tan x = sin x, on an interval where cos x is non-zero, is:
- Form a differential equation by eliminating the arbitrary constants from y = C₁eˣ + C₂e⁻ˣ.
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