If y(x) satisfies the differential equation y" + x²y = 0, where y(0) = yo and y'(0) = y, show that its transform Y(p) satisfies the equation Y" +p?Y = pyo + yo- %3D

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4. If y(x) satisfies the differential equation
y" + x²y = 0,
where y(0) = yo and y'(0) = y6, show that its transform Y(p) satisfies the
equation
Y" +p²Y = pyo + yo-
Transcribed Image Text:4. If y(x) satisfies the differential equation y" + x²y = 0, where y(0) = yo and y'(0) = y6, show that its transform Y(p) satisfies the equation Y" +p²Y = pyo + yo-
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