Given that y1 (x) = t* is a known solution of the linear differential equation ²y" – 7ty + 16y = 0, t > 0 - Use reduction of order to find the general solution of the equation. O y = c¡t* In(t) + c2t4 O y = c1fª + c2f O y = c¡f* + c2e't O y = cirte + czr* N y = cjt + cɔt4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given that yı (x) = t* is a known solution of the linear differential equation
2y" – 7ty + 16y = 0, t > 0
Use reduction of order to find the general solution of the equation.
O y = cjt* In(t) + c2t4
O y = c1fª + c2f
O y = c¡rª + c2e' tª
O y = cr*e + czrt
O y = cịt + c2t“
Transcribed Image Text:Given that yı (x) = t* is a known solution of the linear differential equation 2y" – 7ty + 16y = 0, t > 0 Use reduction of order to find the general solution of the equation. O y = cjt* In(t) + c2t4 O y = c1fª + c2f O y = c¡rª + c2e' tª O y = cr*e + czrt O y = cịt + c2t“
Solve the differential equation
+y tan x 3 cos x, у (л) %3D —Зл.
ОУ3х sin(x) + 2л сos(x)
Оу 3Dх sin(х) + л сos(x)
Оу 3 пх сos(x) + x сos(х)
Оу%3Dх сos(х) + 2л сos(x)
Оу%3 л sin(х) + x sin(x)
Transcribed Image Text:Solve the differential equation +y tan x 3 cos x, у (л) %3D —Зл. ОУ3х sin(x) + 2л сos(x) Оу 3Dх sin(х) + л сos(x) Оу 3 пх сos(x) + x сos(х) Оу%3Dх сos(х) + 2л сos(x) Оу%3 л sin(х) + x sin(x)
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