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Determine the second solution and the general solution of the differential equation (1-2x-x²)y" + 2(1 + x)y' - 2y = 0, knowing that y₁(x) = x+1, using the order reduction method. You can use the general equation y₂(x) = y₁(x) √ e-spo -P(x)dx dx dx.

Determine the second solution and the general solution of the differential equation (1-2x-x²)y" + 2(1 + x)y' - 2y = 0, knowing that y₁(x) = x+1, using the order reduction method. You can use the general equation y₂(x) = y₁(x) √ e-spo -P(x)dx dx dx.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 14CR
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Determine the second solution and the general solution of the differential equation (1-2x-x²)y" + 2(1 + x)y' - 2y = 0, knowing that y₁(x) = x+1, using the order reduction method. You can use the general equation y₂(x) = y₁(x) √ e-spo -P(x)dx dx dx.
Transcribed Image Text:Determine the second solution and the general solution of the differential equation (1-2x-x²)y" + 2(1 + x)y' - 2y = 0, knowing that y₁(x) = x+1, using the order reduction method. You can use the general equation y₂(x) = y₁(x) √ e-spo -P(x)dx dx dx.
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