Is with/
So
We have
Integrating factor is
Multiplying by thi/s factor we get
We can check that this equation is now exact as
And so the solution is such that
Substituting in
So our solution is simply
Differential Equations 3. (20 points) Find the solution to the differential equation y sin(y) dx +...
3. (20 points) Find the solution to the differential equation y sin(y) dx + x(sin y - y cos y) dy = 0
Detailed answer Find the solution to the differential equation ysin(y) dx + x(sin y, ycos y) dy = 0
Find the general solution to the differential equation dx sin χ xdy +3(y +x*) = sinx dx sin χ xdy +3(y +x*) = sinx
Find the solution of the differential equation dy dx = x y that satisfies the initial condition y(0)=−7. Answer: y(x)=
solve the following differential equations (e* + 2y)dx + (2x – sin y)dy = 0 xy' + y = y? (6xy + cos2x)dx +(9x?y? +e")dy = 0 +2ye * )dx = (w*e * -2rcos x) di
dy Find the solution of differential equation: - cot(y). (KER) dx y=K sin(e) y=arcsin(Ket) O y=tan(Kx?) y=Ke* y = arccos(Ke-*) y=sin(e" +K) O
sin x 2. Solve the differential equation dx X Find the particular solution if y 1 when x = pi/2 +
2) Find the general solution of the differential equation: (ry - sin x)dx + x’dy = 0.
Find the general solution for the differential equation. x dy/dx + 3y = 4x2 – 3x; x>0 y=_______
Consider the differential equation dy/dx = (y-1)/x. (a) On the axes provided, sketch a slope field for the given differential equation at the nine points indicated. (b) Let y = f (x) be the particular solution to the given differential equation with the initial condition f (3) = 2. Write an equation for the line tangent to the graph of y= f (x) at x = 3. Use the equation to approximate the value of f (3.3). (c) Find the particular solution y...