The Differential Equations category gathers questions that explore solving ordinary and partial differential equations. It includes methods such as separation of variables, integrating factors, and real‑world applications in physics and engineering.
We can see that using formula we get dy/dx = [(xy – 2) ± √(1 – xy)]/ x². Calculation gives this directly, check steps: apply rule, substitute values, simplify to get dy/dx = [(xy – 2) ± √(1 – xy)]/
Ref: NCERT Mathematics Class XII — Differential Equations
We know that using formula we get (log y)² - (9/5)(log x)² = 0. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get (log y)² - (9/5)(log x)² = 0.
Ref: NCERT Mathematics Class XII — Differential Equations
The logic is straightforward: after simplifying, 2 is left. The method is simple: formula → substitution → calculation → answer.
Ref: NCERT Mathematics Class XII — Differential Equations
We can see that complete solution: write formula, plug data, do arithmetic. Final value matches 0. Simple and accurate.
Ref: NCERT Mathematics Class XII — Differential Equations
Understanding this is easy: solving fully: apply relevant formula, put numbers, compute. Result comes as y = 7x². Easy verification shows it satisfies condition.
Ref: NCERT Mathematics Class XII — Differential Equations
We can see that we verify y = 5 tan3x by full calculation: use standard identity, substitute, simplify step by step to reach y = 5 tan3x.
Ref: NCERT Mathematics Class XII — Differential Equations
We can see that complete solution: write formula, plug data, do arithmetic. Final value matches 3^x+y - 3^x3^y - 3^x+y. Simple and accurate.
Ref: NCERT Mathematics Class XII — Differential Equations
Look at it this way: complete solution: write formula, plug data, do arithmetic. Final value matches 2xydydx = y^2 - x^2. Simple and accurate.
Ref: NCERT Mathematics Class XII — Differential Equations
From the definition, solving fully: apply relevant formula, put numbers, compute. Result comes as order = 3, degree = not define. Easy verification shows it satisfies condition.
Ref: NCERT Mathematics Class XII — Differential Equations
The logic is straightforward: after simplifying, Straight lines is left. The method is simple: formula → substitution → calculation → answer.
Ref: NCERT Mathematics Class XII — Differential Equations
Let's break it down: we verify 3, 2 by full calculation: use standard identity, substitute, simplify step by step to reach 3, 2.
Ref: NCERT Mathematics Class XII — Differential Equations
In easy words, solving fully: apply relevant formula, put numbers, compute. Result comes as c(x + y) = xy. Easy verification shows it satisfies condition.
Ref: NCERT Mathematics Class XII — Differential Equations
