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2) Show that are the integrating factors of the equation...
plz show work, thank you 1. For the following problem, determine if the following equations are...
plz show work, thank you
1. For the following problem, determine if the following equations are linear or nonlinear. If it is linear, classify it as being homogeneous or non-homogeneous, with constant coefficients or variable coefficient (5 points) y" +(1- x)y'+ xy = sin(x) 2. Consider the differential equation: y" - 4y' +5y = 0 (a) (5 points) Find a general solution to the differential equation (b) (5 points) Find a solution to the differential equation that satisfies the initial...
please show all steps 1.) 2.) 3. (a) In each of (1) and (2), determine whether...
please show all steps
1.)
2.)
3.
(a) In each of (1) and (2), determine whether the given equation is linear, separable, Bernoulli, homogeneous, or none of these. (1) y = yenye (2) x²y = 3x cos(2x) + 3xy (b) Find the general solution of (1). Given the one-parameter family y3 = 3 +Cx? (a) Find the differential equation for the family. (b) Find the differential equation for the family of orthogonal trajectories. (e) Find the family of orthogonal trajectories....
Using the integrating factor method, find the general solution of the differential equation: y + 2...
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 - /
on someone Hele Me Sim x nts/504579395186777014 + (graded) Section 2.6: Exact Equations and Integrating Factors...
on someone Hele Me Sim x nts/504579395186777014 + (graded) Section 2.6: Exact Equations and Integrating Factors < Previous Consider the differential equation: 9 + (4y sec(8y) - 8-tan(87)) y = 2 a. This equation is not exact because M, = does not equal N. b. Find an integrating factor, j, to make the equation exact. Do not include an arbitrary constant in your answer for By assuming that is a function of only (enter x or y), we get that...
Find an integrating factor of the form x'" and solve the equation. 1.2 An implicit solution...
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....
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.)
1) Show that zo-0 is a regular singular point for the diferenta equation Zo = 0 is a regular sing...
please show the recurrence formula
1) Show that zo-0 is a regular singular point for the diferenta equation Zo = 0 is a regular singular point for the differential equation 15ェy" + (7 + 15r)y, +-y = 0, x>0. Use the method of Frobenius to obtain two linearly independent series solutions about zo Find the radii of convergence for these series. Form the general solution on (0, 0o). 0.
1) Show that zo-0 is a regular singular point for the...
5. (20 pts) For the differential equation: sume the following information (you don't need to show this). e roots of the indicial equation are ri 4 and 2--2. In addition, after substituting y...
5. (20 pts) For the differential equation: sume the following information (you don't need to show this). e roots of the indicial equation are ri 4 and 2--2. In addition, after substituting y t and its derivatives into the differential equation and reindexing we get: Given this information, find all Frobenius solutions for x >0. Make sure you include the "nth" term in your solution(s). If a solution does not exist for an exponent, show why.
5. (20 pts) For...
The isoclines of the first order differential equation are the family of parallel lines with slope...
The isoclines of the first order differential
equation
are the family of parallel lines with slope 2. Use the drop-down
menus to answer each of the following questions.
Question 5 2.5 / 10 pts The isoclines of the first order differential equation dy dar 2x – Y are the family of parallel lines with slope 2. Use the drop-down menus to answer each of the following questions. (1) What is the slope of all solution curves as they pass through...
15 pts] Sketch some representative solution curves for the autonomous first order differential equation y'- y(2...
15 pts] Sketch some representative solution curves for the autonomous first order differential equation y'- y(2-y) (1 -y). Find all equilibrium solutions, label all pertinent coordinates. Note: An Autonomous equation means that dy/dt does not depend on time t. Hint: Follow the method demonstrated in Example 1.3.6 (p.28). The hand-draw slop field is optional and not necessary. This method gives a qualitative analysis for the future of all possible solutions without solving the equation quantitatively
15 pts] Sketch some representative...
plz show work, thank you
1. For the following problem, determine if the following equations are linear or nonlinear. If it is linear, classify it as being homogeneous or non-homogeneous, with constant coefficients or variable coefficient (5 points) y" +(1- x)y'+ xy = sin(x) 2. Consider the differential equation: y" - 4y' +5y = 0 (a) (5 points) Find a general solution to the differential equation (b) (5 points) Find a solution to the differential equation that satisfies the initial...
please show all steps
1.)
2.)
3.
(a) In each of (1) and (2), determine whether the given equation is linear, separable, Bernoulli, homogeneous, or none of these. (1) y = yenye (2) x²y = 3x cos(2x) + 3xy (b) Find the general solution of (1). Given the one-parameter family y3 = 3 +Cx? (a) Find the differential equation for the family. (b) Find the differential equation for the family of orthogonal trajectories. (e) Find the family of orthogonal trajectories....
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 - /
on someone Hele Me Sim x nts/504579395186777014 + (graded) Section 2.6: Exact Equations and Integrating Factors < Previous Consider the differential equation: 9 + (4y sec(8y) - 8-tan(87)) y = 2 a. This equation is not exact because M, = does not equal N. b. Find an integrating factor, j, to make the equation exact. Do not include an arbitrary constant in your answer for By assuming that is a function of only (enter x or y), we get that...
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.)
please show the recurrence formula
1) Show that zo-0 is a regular singular point for the diferenta equation Zo = 0 is a regular singular point for the differential equation 15ェy" + (7 + 15r)y, +-y = 0, x>0. Use the method of Frobenius to obtain two linearly independent series solutions about zo Find the radii of convergence for these series. Form the general solution on (0, 0o). 0.
1) Show that zo-0 is a regular singular point for the...
5. (20 pts) For the differential equation: sume the following information (you don't need to show this). e roots of the indicial equation are ri 4 and 2--2. In addition, after substituting y t and its derivatives into the differential equation and reindexing we get: Given this information, find all Frobenius solutions for x >0. Make sure you include the "nth" term in your solution(s). If a solution does not exist for an exponent, show why.
5. (20 pts) For...
The isoclines of the first order differential
equation
are the family of parallel lines with slope 2. Use the drop-down
menus to answer each of the following questions.
Question 5 2.5 / 10 pts The isoclines of the first order differential equation dy dar 2x – Y are the family of parallel lines with slope 2. Use the drop-down menus to answer each of the following questions. (1) What is the slope of all solution curves as they pass through...
15 pts] Sketch some representative solution curves for the autonomous first order differential equation y'- y(2-y) (1 -y). Find all equilibrium solutions, label all pertinent coordinates. Note: An Autonomous equation means that dy/dt does not depend on time t. Hint: Follow the method demonstrated in Example 1.3.6 (p.28). The hand-draw slop field is optional and not necessary. This method gives a qualitative analysis for the future of all possible solutions without solving the equation quantitatively
15 pts] Sketch some representative...
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