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Chapter 8: Q 13-25MP (page 466)

Question: In Problemsto , find a particular solution satisfying the given conditions.

Short Answer

Expert verified

The solution of given differential equation is

Step by step solution

Given information.

The differential equation is .

Differential equation.

Find the solution of the given differential equation.

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Most popular questions from this chapter

Using Problems 29 and 31b show that equation (6.24) is correct.

By using Laplace transforms, solve the following differential equations subject to the given initial conditions. $y^{t} - y = 2 t^{t}, 2 t = 3$

$x y' - x y = y, y = 1$ when $x = 1$ .

Solve the differential equation $y y^{2} + 2 x y' - y = 0$ by changing from variables role="math" localid="1655272385100" $y, x$ to $r, x$ where $y^{2} = r^{2}$ ; then $y y' = n' - x$ .

Consider the differential equation $(D - a) (D - b) y = P_{n} (x)$ , where $P_{n} (X)$ is a polynomial of degree $n$ . Show that a particular solution of this equation is given by $(6.24)$ with $c = 0$ ; that is, $y_{p}$ is ${\begin{cases} a polynomial Q_{n} (x) of degree n if a and b are both different from zero; \\ {xQ}_{n} (x) if a ≢ 0, but b = 0 \\ x^{2} Q_{n} (x) if a = b = 0 \end{cases}$

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Question: In Problemsto , find a particular solution satisfying the given conditions.

Short Answer

Step by step solution

Given information.

Differential equation.

Find the solution of the given differential equation.

One App. One Place for Learning.

Most popular questions from this chapter

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