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

Expert Solution

Colby Messinger answered 2 years 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...

1) find the solution t the non-homogenous DE y''-16y=3e5x , y(0)=1 , y'(0)=2 2)find the solution to the DE using cauchy-euler method x2y''+7xy'+9y=0 , y(1)=2 , y'(1)=3 3)find the solution to the DE using Laplace y''+8y'+16y=0 , y(0)=-1 , y'(0)=8

FIND THE GENERAL SOLUTION TO THE DE: Y”’ + 4Y” – Y’ – 4Y = 0...

FIND THE GENERAL SOLUTION TO THE DE: Y”’ + 4Y” – Y’ – 4Y = 0 COMPUTE: L {7 e 3t – 5 cos ( 2t ) – 4 t 2 } COMPUTE: L – 1 {(3s + 6 ) / [ s ( s 2 + s – 6 ) ] } SOLVE THE INITIAL VALUE PROBLEM USING LAPLACE TRANSFORMS: Y” + 6Y’ + 5Y = 12 e t WHEN : f ( 0 ) = -...

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

Find the general solution of the equations: a) y'' + 6y' +5y = 0 b) 16y" - 8y' + 145y = 0 c) 4y" - 4y' + y = 0

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

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

6) a) Find the general solution to the 2nd order differential equation y''+6y'+8y=0 [8 pts] b)...

6) a) Find the general solution to the 2nd order differential equation y''+6y'+8y=0 [8 pts] b) Find the general solution to y''+6y'+8y=2e-x. Use the method of undetermined coefficients. [8 pts] c) Solve the IVP y''+6y'+8y=2e-x, y0=0, y'0=0 [5 pts]

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?

Second order Differential equation: Find the general solution to [ y'' + 6y' +8y = 3e^(-2x)...

Second order Differential equation: Find the general solution to [ y'' + 6y' +8y = 3e^(-2x) + 2x ] using annihilators method and undetermined coeficients.

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

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