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Use the "mixed partials" check to see if the following differential equation is exact
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 (x, y) is the left hand side of the differential equation. That is, level curves F (x, y) = C are solutions to the differential equation: (4ху? — 4y)dx + (4х^у — 4х)dy %3D0 First: and N(x, y) : М/(х, у) 3 вху-4 = 8xy-4 If the equation is not exact, enter not exact, otherwise...
Please answer both questions (note the answers shown here are not correct) A) B) Use the "mixed partials" check to see if the following differential equation is exact. Irit is exact find a function F(x.y) whose dilTerential, dF (x, y) is the left hand side of the diflferential equation. That is, level curves F(x,y)-C are solutions to the differential equation: First: , and N(x, y) 3x-2y*2) If the cquation is not cxact, enter not exact, otherwise enter in F(x, y)...
(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...
(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(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) - C are solutions to the differential equation (-le sin(y)-3y)ax + (-3x + 1e' cos(y))dy-0 First: M,(x,y) = and N,( If the equation is not exact, enter not exact, otherwise enter in F(x, y) here
(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, d F(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) = C are solutions to the differential equation (-3e* sin(y) + 4y)dx + (4x – 3e* cos(y))dy = 0 First, if this equation has the form M(x, y)dx + N(x, y)dy = 0: My(x, y)...
(1 point) Use the "mixed partials" check to see if the following differential equation is exact. lf It is exact find a function F(xy whose differential, dF(x y is the left hand side of the differential equation. That is, level curves F x,y) = Care solutions to the differential equation First: M, (x, y) = | 3-e^x(cosy) and N(x, y)3-enx(cosy) If the equation is not exact, enter not exact, otherwise enter in F(x,y) here (-e1xsiny+3y)+(3x-excosy) (1 point) Use the "mixed...
(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(x,y)dF(x,y) is the left hand side of the differential equation. That is, level curves F(x,y)=CF(x,y)=C are solutions to the differential equation:(3xy2−3y)dx+(3x2y−3x)dy=0(3xy2−3y)dx+(3x2y−3x)dy=0First:My(x,y)=My(x,y)= , and Nx(x,y)=Nx(x,y)= .If the equation is not exact, enter not exact, otherwise enter in F(x,y)F(x,y) here Note: In order to get credit for this problem all answers must be correct.(3xy
Using the fact that dH(T, P) is an exact differential show that the partials obey the cyclic rule (∂H)/(∂T)P*(∂T)/(∂P)H*(∂P)/(∂H)T = −1
Solve the following Exact Differential EquationSolve the following Exact Differential Equation with boundary value y(-1) = 2Solve the following higher order differential equation given that y(pi/3 ) = 0, y'(pi/3 ) = 2
can someone solve this differential equation Which of the following is an exact differential equation ? Select one: a. 3xdy + (x − 2) dx = 0 b. x'ydx – y’xdy = 0 c. 2xydx + (2 + x²) dy 50 d. (2x² + 1) dx – xydy = 0