Check if the equation is exact and find your solution
Check if the equation is exact and find your solution (2xy2 – 7)dx + (2x+y +...
please determine which equations are exact and solve them. Exact Equation nice* (x + y + 2xy2 ) + 6x) dx +(2x+ye* +2 ) dy = 0 2) · (3x” cos xy - x® y sin xy + 4x )dx +(8y - x' sin xy) dy = 0
2. Show that the differential equation below is exact and find the general solution. (2xy + 2 y) dx + (2x+y+2x)dy-0
Find the solution of the differential equation with the given initial condition. Dy/dx = 2x + sec^2x/2y, y(0) = 5.
Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the form F(x,y) C is C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.) Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the...
Determine whether the equation is exact. If it is, then solve it. (4x®y+8) dx + (x4 - 5) dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. = C, where is an arbitrary constant. O A. The equation is exact and an implicit solution in the form F(x,y) = C is (Type an expression using x and y as the variables.) OB. The equation is not exact.
consider the differential equation dy/dx = -2x/y. find the particular solution y = f(x) to the guven differential equation witht the intial condition f(1)= -1 umowed for this question. D Consider the differential equatio find the particular solution y = f(x) to the given differential equation with the initial condition f(1) = -1 46) = -1 Hy=f2 xdx 17 2 + C = -x +C (b) (9.6) be the region in the first quadrant bounded by the graph of y...
find the particular solution that satisfies the initial condition dy/dx= (2x+sec^2x)/2y , y(0)=-5
Determine whether the equation is exact. If it is, then solve it. (3x²y + 4) dx + (x3 - 3) dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. = C, where C is an arbitrary constant. O A. The equation is exact and an implicit solution in the form F(x,y) = C is (Type an expression using x and y as the variables.) OB. The equation is not...
Find the solution of the differential equation dy dx = x y that satisfies the initial condition y(0)=−7. Answer: y(x)=
(1 point) Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x, y) whose differential, dF(, y) gives the differential equation. That is, level curves F(x,y) = C are solutions to the differential equation: dy 4x3 - y dx + 4y2 First rewrite as M(x,y) dic + N(x, y) dy = 0 where M(x,y) = and N(x,y) = If the equation is not exact, enter not exact, otherwise...