Introduction to Differential Equations

4x dy/dx + 2y = sin(x)

dy/dx + sin(y) = x

x^2y''' + 10y' = 1/(x^2 + 1) (correct)

arctan(x) d^2y/dx^2 + ex dy/dx = 0

A function (x) that satisfies F(x, y, y', y'',.,y^(n-1)) = 0

A function (x) that satisfies F(x, y, y', y'',.,y^(n)) = 0

A function (x) that satisfies F(x, (x), 0, 0,., (n-1)) = 0

A function (x) that satisfies F(x, (x), 0, 0,., (n)) = 0 (correct)

A solution obtained by giving values to n arbitrary constants

A solution containing n arbitrary constants (correct)

A solution without any arbitrary constants

A solution satisfying all initial conditions

<p>An ODE along with an appropriate number of initial conditions</p> Signup and view all the answers

<p>(x) = ex</p> Signup and view all the answers