Which of the following statements are true? Lütfen bir ya da daha fazlasını seçin: dy Every solution of the differential equation = y – 5 can be written in the form y = 5+ ce for some dt constant c. O The differential equation ry + y³ = 2ry²y' is homogeneous. O The equation y = 5et is a solution of the differential equation 4y/" – 8y + 3y = 0. sin(x² – 1)y y? – 1 O The equation y' = is separable. O y"(t) + sin(3y(t)) = 0 is a second order linear differential equation. O The differential equation y" + xy" + yy' = tan(x) is a third order nonlinear nonhomogeneous equation. dy = xe²²-In(y²) is not seperable differential equation. xp
Which of the following statements are true? Lütfen bir ya da daha fazlasını seçin: dy Every solution of the differential equation = y – 5 can be written in the form y = 5+ ce for some dt constant c. O The differential equation ry + y³ = 2ry²y' is homogeneous. O The equation y = 5et is a solution of the differential equation 4y/" – 8y + 3y = 0. sin(x² – 1)y y? – 1 O The equation y' = is separable. O y"(t) + sin(3y(t)) = 0 is a second order linear differential equation. O The differential equation y" + xy" + yy' = tan(x) is a third order nonlinear nonhomogeneous equation. dy = xe²²-In(y²) is not seperable differential equation. xp
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Which of the following statements are true?
Lütfen bir ya da daha fazlasını seçin:
dy
Every solution of the differential equation
= y – 5 can be written in the form y = 5+ ce for some
dt
constant c.
O The differential equation ry + y³ = 2ry²y' is homogeneous.
O The equation y = 5et is a solution of the differential equation 4y/" – 8y + 3y = 0.
sin(x² – 1)y
y? – 1
O The equation y' =
is separable.
O y"(t) + sin(3y(t)) = 0 is a second order linear differential equation.
O The differential equation y" + xy" + yy' = tan(x) is a third order nonlinear nonhomogeneous equation.
dy
= xe²²-In(y²)
is not seperable differential equation.
xp
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