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Topics - Victor Ivrii

Pages: 1 2 [3] 4 5 ... 36
31
Quiz-3 / Q3-T5101
« on: February 10, 2018, 05:21:03 PM »
Find the general solution of the given differential equation.
$$
y'' - 2y' - 2y = 0.
$$

32
Quiz-3 / Q3-T0901
« on: February 10, 2018, 05:20:30 PM »
Find the Wronskian of two solutions of the given differential equation without solving the equation.
$$
 (1 - x^2)y'' - 2xy' + \alpha (\alpha + 1)y = 0.
$$

33
Quiz-3 / Q3-T0801
« on: February 10, 2018, 05:20:01 PM »

Find the solution of the given initial value problem.
\begin{align*}
&2y'' + y' - 4y = 0,\\
&y(0) = 0,\qquad y'(0) = 1.
\end{align*}

34
Quiz-3 / Q3-T0701
« on: February 10, 2018, 05:19:20 PM »
Find the general solution of the given differential equation.
$$y'' - 2y' - 2y = 0.
$$

35
Quiz-3 / Q3-T0601
« on: February 10, 2018, 05:18:50 PM »
Find the Wronskian of two solutions of the given differential equation without solving the equation.
$$
x^2y'' + xy' + (x^2 - \nu^2)y = 0.
$$

36
Quiz-3 / Q3-T0501
« on: February 10, 2018, 05:18:09 PM »
Find the general solution of the given differential equation.
$$
2y'' - 3y' + y = 0.
$$

37
Quiz-3 / Q3-T0401
« on: February 10, 2018, 05:17:23 PM »
Find the solution of the given initial value problem
\begin{align*}
&y'' + 4y' + 3y = 0.\\
&y(0) = 2,\quad y'(0) = -1.
\end{align*}

38
Quiz-3 / Q3-T0301
« on: February 10, 2018, 05:16:49 PM »
Find the Wronskian of two solutions of the given differential equation without solving the equation.
$$
\cos (t)y'' + \sin (t)y' - ty = 0.
$$

39
Quiz-3 / Q3-T0201
« on: February 10, 2018, 05:16:11 PM »
Find the general solution of the given differential equation.
$$
y'' + 3y' + 2y = 0.
$$

40
Quiz-3 / Q3-T0101
« on: February 10, 2018, 05:15:19 PM »
Find the Wronskian of two solutions of the given differential equation without solving the equation.
$$
t^2y'' - t(t + 2)y' + (t + 2)y = 0.
$$

44
Quiz-2 / Q2-T5101
« on: February 02, 2018, 02:15:17 PM »
Show that the given equation is not exact but becomes exact when multiplied by the given integrating factor. Then solve the equation.
$$
x^2y^3 + x(1 + y^2)y' = 0,\qquad  \mu(x, y) = 1/xy^3.
$$

45
Quiz-2 / Q2-T0901
« on: February 02, 2018, 02:14:45 PM »
Find an integrating factor and solve the given equation.
$$
\bigl(3x+\frac{6}{y}\bigr)+ \bigl(\frac{x^2}{y}+3\frac{y}{x}\bigr)\frac{dy}{dx}=0.
$$

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