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(4 points) Solve the initial value problem $(3 + x^2)y'' + 4y = 0$, $y(0) = 0$, $y'(0) = 4$. If the solution is y = $c_0 + c_1x + c_2x^2 + c_3x^3 + c_4x^4 + c_5x^5 + c_6x^6 + c_7x^7 + \dots$, enter the following coefficients: $c_0 = $ $c_1 = $ $c_2 = $ $c_3 = $ $c_4 = $ $c_5 = $ $c_6 = $ $c_7 = $

          (4 points) Solve the initial value problem
$(3 + x^2)y'' + 4y = 0$, $y(0) = 0$, $y'(0) = 4$.
If the solution is
y = $c_0 + c_1x + c_2x^2 + c_3x^3 + c_4x^4 + c_5x^5 + c_6x^6 + c_7x^7 + \dots$,
enter the following coefficients:
$c_0 = $
$c_1 = $
$c_2 = $
$c_3 = $
$c_4 = $
$c_5 = $
$c_6 = $
$c_7 = $
        
Show more…
(4 points) Solve the initial value problem
(3 + x^2)y” + 4y = 0, y(0) = 0, y'(0) = 4.
If the solution is
y = c0 + c1x + c2x^2 + c3x^3 + c4x^4 + c5x^5 + c6x^6 + c7x^7 + …,
enter the following coefficients:
c0 =
c1 =
c2 =
c3 =
c4 =
c5 =
c6 =
c7 =

Added by Carrie T.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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4 points Solve the initial value problem (3 + x^2y" + 4y = 0, y(0) = 4). If the solution is y = C0 + C1z + C2z^2 + C3x^2 + C4zx^3 + C5a + C6gx^5 + C7gx + C8x + ... enter the following coefficients C0 = 0 C1 = C2 = C3 = 8 C4 = C5 = S C6 = 9 C7 =
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Transcript

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00:01 So here we are given the equation which is 1 plus x raised to the power 2 multiply by the y double dash plus 3 of 1 of 1 of 0 that will be equals to 0.
00:08 Here we are given that y of 0 is equal to 0 and y dash of 0 is equal to 1.
00:13 So from here the solution is given y is equal to c0 plus c1 of x x 2 plus c2 of x raised to the power 2 plus 3 of x raised to the power 3 plus c 5 of x 6 of x 6 to the power 6 up to so on terms...
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