Question

Explain that the equation sin(xy) = y defines y as function of x around the point...

Explain that the equation sin(xy) = y defines y as function of x around the point (pi/2 ,1) and then calculate dy/dx for x = pi/2

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the curve given by the equation sin(?−?)=2?+?sin⁡(x−y)=2x+y. The equation defines ?y as a function ?(?)y(x)...
Consider the curve given by the equation sin(?−?)=2?+?sin⁡(x−y)=2x+y. The equation defines ?y as a function ?(?)y(x) near (0,0)(0,0). (a) Find the equation of the tangent line to this curve at the point (0,0)(0,0). (b) Find ?″(0)y″(0).
i)Please state if the following equations are exact or not: (a) (sin(xy) − xy cos(xy))dx +...
i)Please state if the following equations are exact or not: (a) (sin(xy) − xy cos(xy))dx + x^2 cos(xy)dy = 0 (b) (x^3 + xy^2 )dx + (x^2 y + y^3 )dy = 0 ii) Determine if the following equation is exact, and if it is exact, find its complete integral in the form g(x, y) = C: (3(x)^2 + 2(y)^2 )dx + (4xy + 6(y)^2 )dy = 0
Solve the differential equation: dy/dx = sin(x - y).
Solve the differential equation: dy/dx = sin(x - y).
Consider the following differential equation: dy/dx = −(3xy+y^2)/x^2+xy (a) Rewrite this equation into the form M(x,...
Consider the following differential equation: dy/dx = −(3xy+y^2)/x^2+xy (a) Rewrite this equation into the form M(x, y)dx + N(x, y)dy = 0. Determine if this equation is exact; (b) Multiply x on both sides of the equation, is the new equation exact? (c) Solve the equation based on Part (a) and Part (b).
solve the give diffential equation. x dy/dx + xy= 1-y y(1)=0 answer y = x-1( 1-...
solve the give diffential equation. x dy/dx + xy= 1-y y(1)=0 answer y = x-1( 1- e1-x )
Use implicit differentiation to determine dy/dx given the equation e^x⋅y^3+x^4=sin(y) dy/dx=
Use implicit differentiation to determine dy/dx given the equation e^x⋅y^3+x^4=sin(y) dy/dx=
Solve the Homogeneous differential equation (7 y^2 + 1 xy)dx - 1 x^2 dy = 0...
Solve the Homogeneous differential equation (7 y^2 + 1 xy)dx - 1 x^2 dy = 0 (a) A one-parameter family of solution of the equation is y(x) = (b) The particular solution of the equation subject to the initial condition y(1) =1/7.
3. Find the general solution to the differential equation: (x^2 + 1/( x + y) +...
3. Find the general solution to the differential equation: (x^2 + 1/( x + y) + y cos(xy)) dx + (y ^2 + 1 / (x + y) + x cos(xy)) dy = 0
Find the solution to the separable differential equation dy = x cos2 y + sin x...
Find the solution to the separable differential equation dy = x cos2 y + sin x cos2 y satisfying π dx the initial condition y = 4 when x = π.
solve differential equation ((x)2 - xy +(y)2)dx - xydy = 0 solve differential equation (x^2-xy+y^2)dx -...
solve differential equation ((x)2 - xy +(y)2)dx - xydy = 0 solve differential equation (x^2-xy+y^2)dx - xydy = 0