part b is done as directed
what is the answer of (b)?? (a) Determine whether F (x, )is an integrating factor of...
Using integrating factor, solve the initial value problem for the following ODE. dy y dx X - 7xe, y(1) = 7e -7 The solution is y(x) = D.
2. Integrating factor Solve the given initial value problem. a) (1 + x*)y' + 2xy = f(x), y(0) = 0 f(x) = {-x, x<0 x, x20
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...
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
In Problems 5-6, determine an Integrating Factor for the given DE. 5. [2x + (x2 + y2) cot x]dx + 2ydy = 0. 6. + (+ 1)dy = 0. 7. Use Euler's Method with the specified Step Size (h), to determine the solution to the given IVP at the specified point. y = x2 + y², y(1) = 2, h = 0.2; y(1.4)~?
In Problems 5-6, determine an Integrating Factor for the given DE. 5. [2x + ( 22 + y2) cotx]dx + 2ydy = 0. 6. z'yd.x + y(x + 1)dy = 0. 7. Use Euler's Method with the specified Step Size (h), to determine the solution to the given IVP at the specified point. y = 22 + y2, y(1) = 2, h=0.2; y(1.4)~?
A first order linear equation in the form y′+p(x)y=f(x) y p x y f x can be solved by finding an integrating factor μ(x)=exp(∫p(x)dx) μ x exp p x d x (1) Given the equation y′+6y=4 y 6 y 4 find μ(x)= μ x (2) Then find an explicit general solution with arbitrary constant C C . y= y . (3) Then solve the initial value problem with y(0)=3 y 0 3 y= y .
In Problems 5-6, determine an Integrating Factor for the given DE. 5. (2x + (x2 + y2) cotx]dx + 2ydy = 0. 6. x ydx + y(x3 + 1)dy = 0. 7. Use Euler's Method with the specified Step Size (h), to determine the solution to the given IVP at the specified point. V = 22 + y2, y(1) = 2, h = 0.2; y(1.4)~?
(2) [Problem 1.9.25 Part 1] Determine the integrating factor for the following differential equation. æży dx + y(x3 +e-34 sin y)dy = 0 (3) [Problem 1.9.25 Part 2] Use the integrating factor found in the previous prob- lem to solve the differential equation xạy dx + y(x3 +e-34 sin y)dy = 0.
need help please
6. We say f(x,y) is a function of x +y if f(x,y) = g(x+y) for some one variable function g. For example, sin(a+y) and ex+w' are functions of x + y. (a) Find a condition on the differential equation A(x, y) + B(x,y) = 0 so that it may be transformed into an exact equation via an integrating factor (+ v). (b) What is a formula for this integrating factor. (c) Use this strategy to solve (7x*...