Consider the differential equation (xy + 3x - y – 3) dx (xy – 2x +4y - 8) dy. By separation of variables, t differential equation can be re-written as A X- 4 dx - 2 dy = 0 y+3 © a - -- x+ y+2 B dx dy = 0 X-4 y+3 C) none of the choices y + (D dx x+4 dy = 0 - 2 dx dy = 0

Q: For the differential equation (x2 - 4)y" + (x- 2)y' + 2y = 0, a regular singular point is: %3D None…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider the differential equation x² y" – 3xy' + 3y = 0. (a) Verify that y = cjx + c2x is the…

A:

Q: ( x + 2y - 1 ) dx - ( x + 2y - 5 ) dy = 0

A:

Q: The solution of the differential equation 3.9 + x² + x²y+ 3.9y 1+ Y dy dx using variable separable y…

A: The given equation is dydx=3.9+x2+x2y+3.9y1+y On simplifying this, we get…

Q: Solve the separable differential equation dy 7x – 6yVx² +1 = 0. - dx Subject to the initial…

A:

Q: Find the solution of exact differential equations Xy-1/x^2y. dx - 1/xy^2.dy3D0

A: The exact differential form of a differential equation is written as M·dx-N·dy=0 where ∂M∂y=∂N∂x.

Q: 4. The differential equation (2x + 3y - 1) dx + (2x + 3y +2)dy = 0 represents non-parallel lines %3D

A: Given that: (2x+3y-1)dx+(2x+3y+2)dy=0

Q: The second-order linear differential equation xy" + 2y' 12x can be solved by first making the…

A:

Q: find solution of this differential equation: (1−xy)^−2 dx + [y^2 + x^2 (1−xy)^−2 ]dy = 0; when x =…

A:

Q: 6) ( y - 2xy ) dx + 3x'dy - 0 ; y( 2) = -1

A:

Q: For the differential equation (x2 – 16)y" + (x – 4)y' + 2y = 0, the singular %3D points are: O x=4…

A: Let us consider the differential equation y''+P(x) y'+Q(x)y=0 Where P(x) and Q(x) are function of x…

Q: For the differential equation (x² – 4)y" + (x – 2)y' + 2y= 0, the singular points are: %3| x=2 and…

A:

Q: The solution of the differential equation dy dx 6. is 6x + C 6lnx + C | 4 6x + C 5 6lnx + C 2

A:

Q: The differential equation (1- z) (dy - dz)- 2rydx for y (0) = 1 can be transformed to a standard %3D…

A: Try to put all dx term and dy term together.

Q: Solve the differential equation [cos (2y) — 3x²y²] dx + [cos (2y) - 2x sin (2y) - 2x³y] dy - a. sin…

A: Given: cos2y-3x2y2dx+cos2y-2xsin2y-2x3ydy=0

Q: The general solution of the differential equation (z - 3y + 2) dz + 3 (z + 3y – 4) dy = 0 |3| 3(z-1)…

A:

Q: Solve the differential equation (2x + y) dx - O a. 5x+10y + In |10x O b. O c. 5x O d. 5x (4x + 2y -…

A:

Q: Determine the solution of the differential equation 2y"-3y' + 4y = 0 3x V23 y = e (C, cos x+ C2sinx)…

A:

Q: The solution of the differential equation dy_ x³+x+2xy = 0 is : dx x2 +1 A) y = (x² + 1)[ In vx²+ 1…

A:

Q: 2. Solve the differential equation (3.x² – x³ + 3y – 3.xy – y³)dx + 3(x + y²)dy= 0, - by determining…

A: Exact differential equations solved by using integrating factor

Q: The differential equation, (x + 3y - 5) dx - (3x + y - 7) dy = 0 can be transformed into homogeneous…

A:

Q: Determine the solution of the differential equation ex y" – 2y' + y = 1+x2 - y = C,e* + C2xe* +÷e*…

A:

Q: What is the general solution to the differential equation (2x-2y-3)dx=(2x-4y-2)dy

A: To solve the differential equation of the type, dydx=ax+by+ca'x+b'y+d Since the equation is not…

Q: Solve the differential equation [cos (2y) - 3x²y²] dx + [cos (2y) - 2x sin (2y) — 2x³y] dy = 0 - a.…

A:

Q: Using the method of undetermined coefficients, the modified form of a particular solution for the…

A:

Q: The solution of the differential equation 7+ x² + x²y+ 7y 1+ Y dy using variable dx separable x2 Py…

A: Separate the variables from terms of right hand side then transfer the terms of y to the side of dy…

Q: Find the particular solution of the given differential equations. (x² + 2xy - 4y²)dx - (x² - 8xy -…

A: Given equation is (x2+2xy-4y2)dx-(x2-8xy-4y2)dy=0

Q: Solve the differential equation -1 (x + 3)¯¹ cos (y)dx cos (y)dx O a. cos (y) In b. cos (y) In -…

A:

Q: Solve non-homogeneous differential equation of 8y′′ − 2y′ − y = −x^2 − x −1

A:

Q: Find the general solution to differential equations 2 1) (-2xy) dx + (Siny-x²) dy 2) dy + 3xy dx = x…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: general solution of the differential equation xy" - 2y = Inx is O cie + cze - 2r + ; | O Cır + czr +…

A:

Q: what is the solution to the differential equation 2\sqrt(xy)(dy)/(dx)= 1 at y(4)=1

A:

Q: Consider the differential equation: (5x – 1)'y" (x) + 3(5x – 1)y(x) + y(x) = 9(5x - 1)-1 (1) a)…

A: The given differential equation is the Cauchy Euler differential equation.  To find the solution we…

Q: Consider the differential equation y" - 2y + 17y= 0; ex cos(4x), ex sin(4x), (-∞o, co). Verify that…

A:

Q: In the differential equation (2x+3y-5)dx+(3x- y-2)dy=0, the lines 2x+3y-5 =0 and 3x- y-2 =0…

A: This question can be solved using the concept of solving two linear equation.

Q: To reduce the differential equation with linear coefficients (x+2y-4)dx - (2x+y-5)dy = 0 to a DE…

A:

Q: Find the Particular solution of the differential equation : D2+3D+2y=3sin x , given that x=0, y=-0.9…

A:

Q: The differential equation 3y"-5 y-y-e 0 is a homogeneous differential equation. Select one: False

A: From the given problem:   3y''-5y'-y-ex=0   As we know that the standard form of higher-order…

Q: Find the particular solution of the given differential equations. 2. (x² + 2xy - 4y²)dx - (x² - 8xy…

A: (x² + 2xy - 4y²)dx - (x² - 8xy - 4y²)dy = 0

Q: Find general solutions of the differential equation  x^3y'=x^2y-y^3

A: the given equation is x3y'=x2y-y3 divide the equation by x3 y'=1xy-1x3y3            ...... (1)…

Q: Find the particular solution of the differential equation y’ + 7x = 0, at y = 0, x = 3. y = 63x2/2 y…

A:

Q: 2. (xy +x)dx = (x²y² + x² + y² + 1)dy

A:

Q: The differential equation 3y(x -1dx+(x³ +8y– 3xdy = 0; is exact because OM ON %3D

A:

Q: Solve the second order differential equation ÿ + ỷ – 6y = 8e* + 3x 1 A:y = ce2x + c2e-3x + 2e* + 12…

A:

Q: (2x-3y+4)dx+3(x-1)dy=0; when x = 3 and y = 2. Solve for the first-order Differential Equation.

A:

Q: Discretize the differential equation y " – 3y' – y = -3t, y(-1) = 0, y(1) = 0 with step-size h %3D

A: Given: y''- y' - y =-3t, y(-1)=0 and y(1)=0 with step-size h =25

Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

A: Given , dy/dx = x2+2x-4 We can get y by integrating.

Q: Solve the differential equation (x+3)−¹ cos (y) dx - [sin (y) In |5x + 15|-y-¹] dy = 0 cos (y) dx a.…

A: