Lição de casa da aula: Equações Diferenciais Exatas Mathematics

Nesta atividade, nós vamos praticar a identificar e resolver equações diferenciais exatas de primeira ordem.

Q1:

A equaΓ§Γ£o diferencial ο€Ήπ‘₯+𝑦π‘₯+ο€½π‘₯+𝑦1+3𝑦𝑦=0tgdd Γ© exata?

  • AnΓ£o
  • Bsim

Q2:

Resolva a equaΓ§Γ£o diferencial exata ο€Ή2π‘₯𝑦+3π‘₯π‘₯+ο€Ή2π‘₯𝑦+4𝑦𝑦=0dd.

  • Aπ‘₯𝑦+π‘₯+2π‘₯𝑦+4π‘¦βˆ’2π‘₯𝑦=C
  • Bπ‘₯𝑦+π‘₯=C
  • Cπ‘₯𝑦+π‘₯+4𝑦=C
  • D2π‘₯𝑦+π‘₯+π‘¦βˆ’23π‘₯π‘¦βˆ’3π‘₯𝑦=οŠͺC
  • Eπ‘₯𝑦+π‘₯+𝑦=οŠͺC

Q3:

Resolva a equaΓ§Γ£o diferencial exata (1+𝑦𝑒)π‘₯+(2𝑦+π‘₯𝑒)𝑦=0ο—ο˜ο—ο˜dd.

  • Aπ‘₯+𝑒+2𝑦=ο—ο˜C
  • Bπ‘₯+π‘¦βˆ’π‘¦+ο€Ό2+1π‘₯οˆπ‘’=οŠ¨ο—ο˜C
  • Cπ‘₯+2𝑦+(2+π‘₯)𝑒=ο—ο˜C
  • Dπ‘₯+𝑒=ο—ο˜C
  • Eπ‘₯+𝑒+𝑦=ο—ο˜οŠ¨C

Q4:

A equaΓ§Γ£o diferencial 2π‘₯βˆ’3𝑦2π‘₯𝑦π‘₯+3π‘¦βˆ’2π‘₯3π‘₯𝑦𝑦=0dd Γ© exata?

  • AnΓ£o
  • Bsim

Q5:

A equaΓ§Γ£o diferencial ο€Όπ‘₯+𝑦π‘₯π‘₯+𝑦+5π‘₯𝑦=0dlnd Γ© exata?

  • Asim
  • BnΓ£o

Q6:

Resolva a equaΓ§Γ£o diferencial exata (π‘₯+𝑦)π‘₯+ο€½π‘₯𝑦+𝑒𝑦=0coslndd.

  • Aβˆ’π‘₯+π‘₯𝑦+𝑒=senlnC
  • BsenlnCπ‘₯+π‘₯𝑦+𝑒=
  • CsenlnCπ‘₯+π‘₯𝑦=
  • Dβˆ’π‘₯βˆ’π‘₯𝑦+𝑒=senlnC
  • Eβˆ’π‘₯+π‘₯𝑦=senlnC

Q7:

Resolva a equaΓ§Γ£o diferencial exata 2π‘₯βˆ’3𝑦2π‘₯𝑦π‘₯+3π‘¦βˆ’2π‘₯3π‘₯𝑦𝑦=0dd.

  • Aπ‘₯𝑦+72𝑦π‘₯=C
  • Bπ‘₯𝑦+𝑦π‘₯=C
  • C𝑦+𝑦π‘₯=C
  • Dβˆ’23𝑦+π‘₯=C
  • Eβˆ’23π‘₯𝑦+π‘₯=C

Q8:

Resolva a equaΓ§Γ£o diferencial exata ο€»π‘₯+𝑦π‘₯π‘₯+𝑦+π‘₯𝑦=0dlnd.

  • Aπ‘₯4+𝑦π‘₯+𝑦=οŠͺlnC
  • Bπ‘₯4+2𝑦π‘₯+𝑦3βˆ’π‘₯π‘¦βˆ’π‘¦2π‘₯=οŠͺlnC
  • Cπ‘₯4+𝑦π‘₯+π‘¦βˆ’π‘₯=οŠͺlnC
  • Dπ‘₯4+𝑦π‘₯+𝑦3=οŠͺlnC
  • Eπ‘₯4+𝑦π‘₯=οŠͺlnC

Q9:

Resolva a equaΓ§Γ£o diferencial exata ο€Ήπ‘₯+𝑦π‘₯+ο€½π‘₯+𝑦1+𝑦𝑦=0tgdd.

  • A2π‘₯+π‘₯𝑦+𝑦1+𝑦=tgC
  • Bπ‘₯2+π‘₯𝑦+ο€Ή1+𝑦=tglnC
  • Cπ‘₯2+π‘₯𝑦+ο€Ή1+𝑦2=tglnC
  • Dπ‘₯2+π‘₯𝑦+𝑦1+𝑦=tgC
  • Eπ‘₯2+π‘₯𝑦=tgC

Q10:

A equaΓ§Γ£o diferencial ο€Ή3π‘₯+2𝑦π‘₯+ο€Ή4π‘₯𝑦+6𝑦𝑦=0dd Γ© exata?

  • Asim
  • BnΓ£o

Practice Means Progress

Boost your grades with free daily practice questions. Download Nagwa Practice today!

scan me!

A Nagwa usa cookies para garantir que vocΓͺ tenha a melhor experiΓͺncia em nosso site. Saiba mais sobre nossa PolΓ­tica de privacidade.