3. The slope of tangent line at any point (x, y) on the curve is 3x²-2x+7. What is the equation of the curve (the general solution)? a. y = b. у %3 х3 — х2 + 7x + C x2 + 7x + C c. 2y = x³ – x² + 7x + C d. y %3D Зx3 — 2х2 + 7х + С у 3D 2 -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. The slope of tangent line at any point (x, y) on the curve is 3x²-2x+7. What is the equation of
the curve (the general solution)?
x2
a. y =-+7x +C
b. у %3D х3 — х2 + 7x + С
c. 2y = x3 – x² + 7x + C
d. y = 3x3 – 2x² + 7x + C
а. у %3D
3
Transcribed Image Text:3. The slope of tangent line at any point (x, y) on the curve is 3x²-2x+7. What is the equation of the curve (the general solution)? x2 a. y =-+7x +C b. у %3D х3 — х2 + 7x + С c. 2y = x3 – x² + 7x + C d. y = 3x3 – 2x² + 7x + C а. у %3D 3
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