Which of the following statement is false? One important step in the method of variation of parameters is that in order to hind two unknown functions u1, ug we need one more equation so we set u y1 + uzy2 = 0. The variation of parameters method for a non-homogeneous second order linear ectation dons ists of solving the system of equations ujy1 + ubya = 0 uy + uby, = g(t) The variation of parameters method allows us to solve a non-homogeneous second order linear equation directly without solving the corresponding homogeneous equation. Basic idea of the variation of parameters is that we start with the complementary solution e qyi t coyo and replace c1, co by two unknown functions u1, ug and try to find a particular solution of the form yp = U1Y1 + u2Y2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following statement is false?
One important step in the method of variation of parameters is that in order to find two unknown functions u1, u2 we need one more equation so we set u y1 +
uzy2 = 0.
The variation of parameters method for a non-homogeneous second order linear equation donsistsiof solving the system of equations
ujyi + uby2 = 0
uj y + uby, = g(t)
The variation of parameters method allows us to solve a non-homogeneous second order linear equation directly without solving the corresponding homogeneous
equation.
Basic idea of the variation of parameters is that we start with the complementary solution ye = Cyi + coyg and replace c1, co by two unknown functions u1, u2 and try
to find a particular solution of the form yp = u1yYı + u2Y2.
Transcribed Image Text:Which of the following statement is false? One important step in the method of variation of parameters is that in order to find two unknown functions u1, u2 we need one more equation so we set u y1 + uzy2 = 0. The variation of parameters method for a non-homogeneous second order linear equation donsistsiof solving the system of equations ujyi + uby2 = 0 uj y + uby, = g(t) The variation of parameters method allows us to solve a non-homogeneous second order linear equation directly without solving the corresponding homogeneous equation. Basic idea of the variation of parameters is that we start with the complementary solution ye = Cyi + coyg and replace c1, co by two unknown functions u1, u2 and try to find a particular solution of the form yp = u1yYı + u2Y2.
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