Number 7 show all work ere is no function h(y) that would make thisIn Exercises 11-14, find the solution of the initial valuethis the case,3+ 2xy + h'(y) = x² +which impliesh'(y) = -- xy.But this is impossible since the right-hand side dependalone. We will see how to solve an equation such as thEXERCISES 3.3In Exercises 1–10, determine if the differential equationis exact. If it is exact, find its solution.1. (3x² – 4y²) dx – (8xy – 12y³) dy = 02. (3xy +4y²) dx + (5x²y+2x²) dy = 03. (2xy+ ye") dx + (x² + e*) dy = 04. (2xe +x?ye*Y – 2) dx + x'e*» dy = 05. (2x cos y – x²) dx +x² sin y dy = 06. (y cos x+3e* cos y) dx+(sin x– 3e* sin y) dy = 013. 2y sin(ry) dx +y(0) = 1(1-14. | 1 -x² + y?15. Use Maple (or aage) to graph the16. Use Maple (or aage) to graph thE17. Show a separabl.1-2xy7. y =x2x² – 2xy+1x2 – y28. y'18. Show the conver%3Dintegrating withds9.dt0-r cos 0r+ sin 0e' -2t cos sdr10.de19. Determine conddifferential equaes - 12 sin sproblem.11. 2xy dx + (x² +3y²) dy = 0, y(1) = 12xe – 3x²y12. y =is exact and, fcthese conditions*3 - x²ey y(1) = 0

Question

Number 7 show all work ere is no function h(y) that would make thisIn Exercises 11-14, find the solution of the initial valuethis the case,3+ 2xy + h'(y) = x² +which impliesh'(y) = -- xy.But this is impossible since the right-hand side dependalone. We will see how to solve an equation such as thEXERCISES 3.3In Exercises 1–10, determine if the differential equationis exact. If it is exact, find its solution.1. (3x² – 4y²) dx – (8xy – 12y³) dy = 02. (3xy +4y²) dx + (5x²y+2x²) dy = 03. (2xy+ ye&#34;) dx + (x² + e*) dy = 04. (2xe +x?ye*Y – 2) dx + x'e*» dy = 05. (2x cos y – x²) dx +x² sin y dy = 06. (y cos x+3e* cos y) dx+(sin x– 3e* sin y) dy = 013. 2y sin(ry) dx +y(0) = 1(1-14. | 1 -x² + y?15. Use Maple (or aage) to graph the16. Use Maple (or aage) to graph thE17. Show a separabl.1-2xy7. y =x2x² – 2xy+1x2 – y28. y'18. Show the conver%3Dintegrating withds9.dt0-r cos 0r+ sin 0e' -2t cos sdr10.de19. Determine conddifferential equaes - 12 sin sproblem.11. 2xy dx + (x² +3y²) dy = 0, y(1) = 12xe – 3x²y12. y =is exact and, fcthese conditions*3 - x²ey y(1) = 0

Accepted Answer

Answered: Image /qna-images/answer/9368cdc0-cc1e-4d19-99ed-888c93c7e467.jpg

7. y' = - 2ry %3D %3D ds