(a) Solve the differential equation (1 + tx)x = -x2, t >0. (Hint: Try the substitution x = w/t.) (b) Find the general solution of the projective equation x = 1 + x/t - (x/t)2.

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
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(a) Solve the differential equation (1 + tx)x = -x2, t
>0. (Hint: Try the substitution x =
w/t.) (b) Find the
general solution of the projective equation x = 1 + x/t
- (x/t)2.
Transcribed Image Text:(a) Solve the differential equation (1 + tx)x = -x2, t >0. (Hint: Try the substitution x = w/t.) (b) Find the general solution of the projective equation x = 1 + x/t - (x/t)2.
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