Find the particular solution to ?″+16?=−24sec(4?) Do not include the complementary solution ??=?1?1+?2?2.

Expert Solution

milcah answered 2 years ago

Find the general solution of the following differential equations (complementary function + particular solution). Find the...

Find the general solution of the following differential equations (complementary function + particular solution). Find the particular solution by inspection or by (6.18), (6.23), or (6.24). Also find a computer solution and reconcile differences if necessary, noticing especially whether the particular solution is in simplest form [see (6.26) and the discussion after (6.15)]. (D2+2D+17)y = 60e−4x sin 5x

Find a particular solution for ?^2?′′ + ??′ − 4? = ?^3 Given the fact that...

Find a particular solution for ?^2?′′ + ??′ − 4? = ?^3 Given the fact that the general homogeneous solution is ??(?) = ?1(?^2) + ?2t(?^−2)

Given the complementary solution and the differential equation, Give the particular and the total solution for...

Given the complementary solution and the differential equation, Give the particular and the total solution for the initial conditions. Use C1 and C2 for the weights, where C1 is associated with the root with smaller magnitude. If the roots are complex, the complementary solution is the weighted sum of complex conjugate exponentials, which can be written as a constant times a decaying exponential times a cosine with phase. Use C1 for the constant and Phi for the phase. (Note: Some...

.1. a.) By inspection, find a particular solution of 2?′′ − 5? = 13 b.) By...

.1. a.) By inspection, find a particular solution of 2?′′ − 5? = 13 b.) By inspection, find a particular solution of 2?′′−5?= −27? c.) Find a particular solution of 2?′′−5?= −27?+13 d.) Find a particular solution of 19,378.47?′′+35? = 6−56?

Find the particular solution: y″−4y′+4y=(−11.5e^(2t))/(t^(2)+1)

Find a particular solution to y''+6y'+9y=(-18.5e^(-3t))/(t^2+1)

How do you find the complementary solution of a nonhomogeneous differential equation? Could someone give me...

How do you find the complementary solution of a nonhomogeneous differential equation? Could someone give me a general rule or few rules to find the complementary solution based on the appearance of the given equation or the roots of the given equation? Thanks

1. For the following function ?(?) = (?^2−8?+16) / (?^2−4) a. Find the critical values b....

1. For the following function ?(?) = (?^2−8?+16) / (?^2−4) a. Find the critical values b. Use the FIRST DERIVATIVE TEST to determine the intervals where the function is INCREASING and DECREASING. c. Find the RELATIVE EXTREMA of the function and state where they occur. d. Find the ABSOLUTE EXTREMA of the function on the interval [−1, 1.75]

1.) Let f′(x) = 3x^2 − 8x. Find a particular solution that satisfies the differential equation...

1.) Let f′(x) = 3x^2 − 8x. Find a particular solution that satisfies the differential equation and the initial condition f(1) = 12. 2.) An object moving on a line has a velocity given by v(t) = 3t^2 −4t+6. At time t = 1 the object’s position is s(1) = 2. Find s(t), the object’s position at any time t.

Find the general solution to the equation ?″+4?=1

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