Find the general solution to the DE: y'''+8y''+16y=0 (Hint: Find the auxilary equation first)

Expert Solution

Colby Messinger answered 1 year ago

Find the general solution of the differential equation y′′+16y=17sec2(4t) 0<t<pi/8

Consider the nonhomogeneous equation y"-8y'+16y=e^4x cos x. Find a particular solution of the equation by the...

Consider the nonhomogeneous equation y"-8y'+16y=e^4x cos x. Find a particular solution of the equation by the method undetermined coefficients.

1) find the solution t the non-homogenous DE y''-16y=3e5x , y(0)=1 , y'(0)=2 2)find the solution...

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Find the general solution of the equations: a) y'' + 6y' +5y = 0 b) 16y"...

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Find the general solution of: x' - 9x +8y = 0 y' -24x + 19y = 0

Find a general solution to the following higher-order equation: y''''+17y''+16y=0 I know you have to rewrite...

Find a general solution to the following higher-order equation: y''''+17y''+16y=0 I know you have to rewrite this question into : r4 + 17r2 +16 = 0 factoring I get (r2 +1)(r2+16), facotring further (r+i)2(r+4i)2 Am I correct so far? and if so how do I approach from this point onwards?

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Consider the equation y''− (sin x)y = 0. Find the general solution as a power series...

Consider the equation y''− (sin x)y = 0. Find the general solution as a power series centered at x = 0. Write the first six nonzero terms of the solution. Write the two linearly independent solutions that form the general solution. Differential Equations

Find the solution of y″+8y′=1024sin(8t)+640cos(8t) y(0)=4 and y'(0)=3 y=?

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