Q1) (10+21+4-35 pts.) Consides the differeatial equation (DE) a) Show thnt. a-? is an integrating factor....
By show it means prove not solve for the if again
Thank you!
(a) Show that eis an integrating factor for the DE (b) Show that a general solution y y(z) of the DE (1) is given implicitly by the equation F(x, y) c where c is a constant and where F(x, y) = e-r2(y2(z"y + 2)-1 )
(a) Show that eis an integrating factor for the DE (b) Show that a general solution y y(z) of the DE (1)...
2) (10) Find the integrating factor and solve the initial value problem -2xy + y(1) Find an interval of solution w of cooling, the rate at which the temperature of an object isproportional to the difference between the temperature 3) (10) In Newton's law of cooling, the rate at whic changes over time is proportional to the of the object (t) and the temperature of the surrounding medium For the following problem set up the initial value problem, then solve...
Find an integrating factor of the form x'" and solve the equation. 1.2 An implicit solution in the form F(x,y)= C is | -C, where C is an arbitrary constant, and V by multiplying by the integrating factor s the variables.) the solution x=0 was lost no solutions were lost the solution y 0 was lost
Struggling with this
differential equations problem. Can't find the integrating factor
to continue
Solve the equation. (4x2 +2y+ 2y2dx + (x + 2xy)dy 0 An implicit solution in the form F(x,y) C is by multiplying by the integrating factor 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 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...
(b) (8) Consider the following equation where a is a constant. Given that the integrating factor is e', determine the constant a and then find the general solution: 2/+ ay 2e!
I want to know num4 by (b)
picture2 is solution
dx 4 Solve 2x e2 cos t dt (a) by using an integrating factor (b) by finding its complementary function and a particular integral. e2t (4 cos t sin t) - 21 17
dx 4 Solve 2x e2 cos t dt (a) by using an integrating factor (b) by finding its complementary function and a particular integral.
e2t (4 cos t sin t) - 21 17
Using the integrating factor method, find the general solution of the differential equation: y + 2 y = 4 x>0. y = x + 2 5 ºr - Syno 04 - 1 - /
4. specify which letter answer
4) An integrating factor for the lirear differential equation Xy't xy=1 is aj o c) e) et dJ x
2. Consider the equation aty' +by = tº,y(1) =d where a,b,c and d are constants. For this question you will solve the problem via the Integrating Factor method. Do so following the steps below. A. Put the equation in standard form B. Find the integrating factor C. Multiply the equation by the integrating factor D. Assume +c=2 and integrate to solve the equation. E. Find the constant of the solution in part D in terms of a, b,c,d) using the...