求下列微分方程的通解.[tex=4.714x1.357]Ifkn8QhvAEOTqN3qC5TAEus+f683iloKcqaabkZJtOE=[/tex]
原方程变为[tex=5.0x2.429]CvyIkmwiTv5AMf6X0zLqUw/VjEktbz5lk72oPs0DoMh4wUiiNWAZnv9s5R02MH5X[/tex]，分离变量[tex=4.857x2.643]CvyIkmwiTv5AMf6X0zLqU38UuFEfTeiifXyEC/GF3Fv52IOKACXxtWYcx2dwcwS3zQwVMpJZ/n/9S/LUb1ZKbw==[/tex]，两边积分[tex=7.214x2.643]64MiR0+qVptrlO29Lv44b/1YOj8WX3aq26UxlE2zNxAup8lqrDV24VPsEYSoOXrJkMPjtk6QKcAfVnq4E9nkNA==[/tex]，即[tex=8.071x1.214]qcRmm5NVDjlPMa6jJQJugIK4cJXqfQTwJiPWnUma3lc=[/tex]，原方程的通解为[tex=4.143x1.214]GMDOGDST9HcfCjFaoq55JQ==[/tex].
举一反三
- 求微分方程 [tex=4.714x1.357]VqpfaeO/+UYr39fCNgpYD1dvuwPaJmkWczQ6LTNTe4g=[/tex] 的通解.
- 求下列微分方程的通解：[tex=4.214x1.429]eE9dXkpN2effVrNkAbXJmAfhrTcxtwjNNmZR6fEVsiDPD4FVC2xhREZna4MSAv7C[/tex]
- 求下列微分方程的通解：[tex=4.429x1.357]HZr1o9XmlNCVcm5lXbuOoclOP44fvikMFXOIw7OtTLU=[/tex]
- 求下列微分方程的通解:[tex=4.0x1.357]0impW2WklAhr9eiTopjCbHVSTf3RC7K3jqEEmP0ofwk=[/tex] .
- 求下列微分方程的通解: [tex=4.286x1.357]QmJ4zTKRbEaW9nTrORttlOCImb2CNjnzTdbybe4vlQ4=[/tex]
内容
- 0
求下列微分方程的通解：[tex=3.071x1.357]m0sKckxx+jZ9iltApBtB27QYWFnv40zUd2jy6SC7LuRmlgTYsUQPuAc5EzcPMEu4[/tex].
- 1
求下列微分方程的通解：[tex=6.643x1.429]LTMyH0WIzFUN0EHuFsgREnQKgexTsLjMeBZyz8IDCja3412pomMcUAWskqoUb+yu[/tex]
- 2
求下列微分方程的通解：[tex=4.429x1.429]4XDBu7mRoRcmkmv7MgmB65QNZg0sgo7cqCyCW9J6JHI=[/tex]
- 3
求下列微分方程的通解:[tex=4.857x1.429]eE9dXkpN2effVrNkAbXJmPQiiderz+rUkOrYtZ9FdOeE9cDb25MQWMMMiyTs+f9W[/tex]
- 4
求下列微分方程的通解:[tex=6.571x1.5]TRvuskBFqPSEXkS2NVISCXhu98tGnnNI8+nZeqBnvUc6FbDQctHUMRjdHh8qIz0t[/tex]