AP EAMCET20226 Jul 2022Morning ShiftMathematicsDifferential EquationsActual
The substitution d y d x =z , reduces the differential equation d^2 y d x^2 - d y d x =0 to a differential equation whose solution is z =
Options
- Ax + C
- Bx + C
- CAe ^ X
- Dx ^2+ C
Correct answer
C. Ae ^ X
Step-by-step solution
aligned & Here, dy dx = z d ^2 y dx ^2 = dz dx & dz dx - z =0 dz dx = z dz z = dx & _ e | z |= cx & z = e ^ cx = e ^ c e ^ x & z = A e ^ x A = e ^ c aligned