In each exercise, find a set of solutions unless the statement of the exercise stipulatesotherwise. Use any method.1. (3ху + Зу — 4)dx + (x + 1)2 dy %3D 02. (x + y) dx + x dy = 03. у?dx — x(2х + Зу)dy %3D 04. (x² + l)dx + x² y²dy = 05. y' = x³ – 2xy; when x =-1– 2r cos03D1; у %3D2-dr6. sin@dedx7.= cosx cos²tdt8. у(х + Зу) dx + x? dy %3D 09. Зх 3 y' %3D 2у(у — 3).-10.dydx= sec? x sec3 y11.xy(dx – dy) = x² dy + y² dx12. (y – sin? x) dx + sin x dy = 013. (y? — Зу — х) dx + (2y — 3) dy 3D 014. (y3 + y + 1)dx + x(x – 3y? – 1)dy = 015. (х + 3у — 5)dx — (х — у — 1) dy %3D 016.(x5 – y² )dx + 2xy dy = 017.(2х + у — 4)dx + (x — 3у + 12)dy 3D 018. (y³sec? xdx – (1– 2y² tanx)dy = 019.x³ ydx + (3x* – y³ )dy = 020.dy/dx21.(6ху — Зу? + 2y) dx + 2(х — у) dy %3D 022.(х — 2) dx + 4(х + у— 1) dy %3D 023. (sin y – y sin x)dx + (cosx + x cos y)dy = 024. (1+ 4xy – 4x²y)dx + (x² – x³ )dy = 0; when x =25. (2y cosx + sin* x)dx = sin x dy , when x =,y = 1-|-%3D= tan y cot x – sec y cosx-2, y =-

Name: In each exercise, find a set of solutions unless the statement of the
Uploaded: 2024-03-20T06:46:42.000Z
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Description: In each exercise, find a set of solutions unless the statement of the exercise stipulatesotherwise. Use any method.1. (3ху + Зу — 4)dx + (x + 1)2 dy %3D 02. (x + y) dx + x dy = 03. у?dx — x(2х + Зу)dy %3D 04. (x² + l)dx + x² y²dy = 05. y' = x³ – 2xy