Write down the order and degree of the differential equation, then solve it. Find the cor- responding particular solution in the case of an initial condition being specified. y(0) = 2 (for b a constant.) (a) y' - by = 0, (b) x' - x = tx² (c) t dy/dt = y +t sec(y/t), y(to) = yo

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Write down the order and degree of the differential equation, then solve it. Find the cor-
responding particular solution in the case of an initial condition being specified.
y(0) = 2 (for b a constant.)
(a) y' - by = 0,
(b) x' - x = tx²
(c) t-dy/dt = y +t sec(y/t), y(to) = yo
Transcribed Image Text:Write down the order and degree of the differential equation, then solve it. Find the cor- responding particular solution in the case of an initial condition being specified. y(0) = 2 (for b a constant.) (a) y' - by = 0, (b) x' - x = tx² (c) t-dy/dt = y +t sec(y/t), y(to) = yo
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