MHT CET202016 Oct 2020Morning ShiftMathematicsDifferential EquationsActual
The intearrati the differential equation (1+x² ) d t= ( ⁻¹ x-t ) d x
Options
- A-e^ ( ⁻¹ x )² 2
- B-e^ ⁻¹ x
- Ce^ ( ⁻¹ x )² 2
- De^ ⁻¹ x
Correct answer
D. e^ ⁻¹ x
Step-by-step solution
(D) aligned dt dx &= ⁻¹- t 1+ x ² dt dx + t 1+ x ² &= ⁻¹ x 1+ x ² I.F. = e ^ 1 1+ x ² dx &= e ^ ⁻¹ x aligned