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(c) The equation of a curve is given by, x²y² + 4y = x (i) Show that dy_ 1- 2xy2 dx 4 + 2x?y %3D (ii) Find the gradient of the curve at (0,0). (iii) Hence, find the equation of the tangent to the curve at (0,0).

(c) The equation of a curve is given by, x²y² + 4y = x (i) Show that dy_ 1- 2xy2 dx 4 + 2x?y %3D (ii) Find the gradient of the curve at (0,0). (iii) Hence, find the equation of the tangent to the curve at (0,0).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(c) The equation of a curve is given by, x²y² + 4y = x (i) Show that dy_1- 2xy2 4 + 2x²y dx Find the gradient of the curve at (0,0). (iii) Hence, find the equation of the tangent to the curve at (0,0).
Transcribed Image Text:(c) The equation of a curve is given by, x²y² + 4y = x (i) Show that dy_1- 2xy2 4 + 2x²y dx Find the gradient of the curve at (0,0). (iii) Hence, find the equation of the tangent to the curve at (0,0).
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