Differential Equations · Class 12 · CBSE · Science Mathematics
Find the solution of dy/dx = (1 + y²)/(1 + x²), given that y = 0 when x = 0.
Practice question from Differential Equations (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
medium · MCQ · Q-45BA89
Find the solution of dy/dx = (1 + y²)/(1 + x²), given that y = 0 when x = 0.
- A.y = xCorrect answer
- B.y = tan x
- C.y = x²
- D.y = arctan x
Solution
Separating variables gives . Hence, ; using gives , so .
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