dxdy=ex⋅ey. Separate variables: e−ydy=exdx.
Integrate: −e−y=ex+c1.
Rearranging: ex+e−y=c (where c=−c1).
CUET UG 2022 — Mathematics Calculus
The general solution of the differential equation dxdy=ex+y, is :
Held on 7 Aug 2022 · Verified 13 Jul 2026.
ex+ey=c
y=ex+y+c
ex+e−y=c
ex−e−y=c
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