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(x²+4)y + 3xy: = Use trigonometric substitution for the indefinite integral of the integrating factor multiplied by the right side of the standard form of this given linear DE. I

(x²+4)y + 3xy: = Use trigonometric substitution for the indefinite integral of the integrating factor multiplied by the right side of the standard form of this given linear DE. I

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 12CR
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E. Use separation of variables or linear differential equations to solve the following differential equations or initial value problems. 1. ey- =e=y+e=2x-y dy dx 2. dy dr = xy - 2x + 4y - 8 2xy + x2y1 dy 3. = 4x³y-y, y(1) = −3 (Solve the DE using separation of variables and linear order differential d.x equation.) 4. (x²+4)y + 3xy = Use trigonometric substitution for the indefinite integral of the integrating factor multiplied by the right side of the standard form of this given linear DE. X 5. ydx = (2y² + x)dy 6. (continuous solution) dy + P(x)y = 4x where P(x) = 2 if 0≤x≤ 1 2 HIN if x ≥ 1 ,y(0) = 3
Transcribed Image Text:E. Use separation of variables or linear differential equations to solve the following differential equations or initial value problems. 1. ey- =e=y+e=2x-y dy dx 2. dy dr = xy - 2x + 4y - 8 2xy + x2y1 dy 3. = 4x³y-y, y(1) = −3 (Solve the DE using separation of variables and linear order differential d.x equation.) 4. (x²+4)y + 3xy = Use trigonometric substitution for the indefinite integral of the integrating factor multiplied by the right side of the standard form of this given linear DE. X 5. ydx = (2y² + x)dy 6. (continuous solution) dy + P(x)y = 4x where P(x) = 2 if 0≤x≤ 1 2 HIN if x ≥ 1 ,y(0) = 3
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