Question

Find the solution for the differential equation

( 4tan(4x) − 4sin(4x) sin(y) ) dx + ( cos(4x) cos(y) ) dy = 0

Has solutions of form F( x, y ) = c ,where

F ( x ,y ) = ?

Please show your work step by step, thanks.

Answer #1

Use the method for solving equations of the form
dy/dx=G(ax+by)
to solve the following differential equation.
dy/dx=2sin(4x-2y) ignore lost solutions and give implicit
solution in the form F(x,y)=c

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.

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

Solve the differential equation:
dy/dx = sin(x - y).

Find the steady periodic solution to the differential equation
?″+3?′+49?=4sin(2?) in the form ???(?)=?cos(??−?), with C > 0
and 0≤ ? <2?

dx
+ (x cot y + sin y) dy=0, Solve the differential equation and write
your answer without negative exponents.

Solve the following Differential equations
a) x sin y dx + (x^2 + 1) cos y dy = 0

Homogenous Differential Equations:
dy/dx = y - 4x / x-y
dy/dx = - (4x +3y / 2x+y)

3. Consider the differential equation: x dy/dx = y^2 − y
(a) Find all solutions to the differential equation.
(b) Find the solution that contains the point (−1,1)
(c) Find the solution that contains the point (−2,0)
(d) Find the solution that contains the point (1/2,1/2)
(e) Find the solution that contains the point (2,1/4)

Use dy/dx + p(x)y = f(x) has the solution y = y_c + y_p to
solve. (Integrating Factor method)
Find the General solution for the DEQ: dy/dx + 2xy = y + 4x - 2.
Show step by step. Please explain or I will give a down-vote. Thank
you

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