(1) The general solution of the ordinary differential equation (p- x)(p – y) = 0 , (p = ) is (a) (2y +x- c)(y-2ce*) = 0 (b) (2yx² - c)(y- ce") = 0 (c) (2y +x + c)(ye*) = 0 (d)(2y – x²-c)(y-ce") = 0

Q: The solution of the non-exact differential equation y dx + (3 + 3x – y)dy = 0 is: O (y^3)…

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

Q: x(1-x2)2y'' - (1-x2)2y' + x3y = 0  Cauchy - Euler differential equation your solution.

A:

Q: 5). Write the first-order differential equation in standard form. (Use yp for y'.) −xy' = (8x + 7)y…

A: To find- Write the first-order differential equation in standard form. -xy' = 8x + 7y + xex…

Q: How do I show that for the differential equation: u''(x) + 6u'(x) + 5u(x) = 10x + 2 x → c1e-x +…

A: The given differential equation is; u''(x) + 6u'(x) + 5 u( x) = 10x + 2

Q: 2-) f(x) + 3f² + 2f = b(x) Solve the differential equation given above.

A:

Q: Determine the solution of the differential equation y' = 2y + x2 + 5 1 1 X- 2 11 -2 X' 2 + Ce-2x а.…

A: Given: y' = 2y+x2+5 dydx-2y=x2+5   Linear differential equation is of the form dydx+Py= Q, where P…

Q: y'=(2x+y+1)/(4x+2y-5)  differential equation solution.

A:

Q: Solve the differential equation y' + 2xy = 23x (A) y = B) y= 23 2 23 5 C y = 23 + cex² (D) y= +…

A: Introduction:    Any equation containing one or more terms and one or more derivatives of the…

Q: Evaluate the given differential equation (2x + 3)y' = y + (2x + 3)2 a. y = In(2x + 3) +C b.y = (2x +…

A:

Q: Solve the differential equation y' + y == A) y= Inx +cx-² B) y= Inx +cx-1 C) y= In x+cx-2 D) y= Inx…

A:

Q: x3y(3) - 2x2y'' + 5xy' - 5y = 5  for differential equation using the special solution parameter…

A:

Q: The solution of the non-exact differential equation (3xy - y²) dx + x(x − y) dy = 0 is: O O O None…

A: The given differential equation is           (3xy - y2)dx + x(x - y)dy = 0     => dy/dx = (y2 -…

Q: If the temperature at which a certain compound melts is a random variable with mean value 115°C and…

A: We have to solve given Questions.

Q: Write the linear differential equation x²dy – (2xy + x – 1)dx = 0 in standard dy form dx +yP(x) =…

A: The given differential equation is: x2dy-2xy+x-1dx=0 We have to write the above ODE as follows:…

Q: Solve the differential equation, e* + 2e*y = 1 dx a) O (x^2)*e^(-2x) b) O (x^2)*e^(2x) c) O…

A:

Q: (1 point) Find the solution of the differential equation xy' + y = y² that satisfies the initial…

A: The differential equation is with the initial condition .To Find:The solution of the differential…

Q: f(x)2x – z² f'(z) f(x)² Q-3. If y = f() satisfies the differential equation 5x then find f(r) %3D

A: Use the division rule of derivative and compare it with the equation given. Integrate the equation…

Q: Soru 2) x(x - 2)y"- (x2-2)y' +2(x- 1)y 3x2 (x - 2)2 e* Obtain the general solution of the…

A: Given - xx-2y'' - x2 -2y' + 2x-1y = 3x2x-2ex To find - The general solution of the differential…

Q: The differential equation x" + 2x' – 3x e5t is equivalent to the system (a) x1 = = 2x1 - 3x2 1 x2 =…

A:

Q: Let y(x) be the solution of the differential equation dy * (* 2) = x; y(1) = 0, d = 0 dx then y(2)…

A:

Q: y"-(y')* =1 Find the general solution of the nonlinear differential equation.

A: Take the substitution y'=z and solve by variable separation process

Q: Find the differential equation such that y(x) = c₁(x-4) 8 +c₂ln(x-4) (x-4) 8

A:

Q: 5) Solve the differential equation 2 u" + 3u'- 2u =te-2t, where u(0) = 0, u'(0) = -2. %3D

A: Given The given equation is u"+3u'-2u=te-2t Boundary condition is u0=0,u'0=-2.

Q: y"s( -() = x-1 , x>1 1-X Yz =e' Show that the differential equation has linear în dependent…

A:

Q: 1252) y=(C1)exp(Ax)+(C2)exp(Bx)+F+Gx is the general solution of the second order linear differential…

A:

Q: Which of the following is the general solution of the equation system dx dt dy 2y x dt x(t) = C,…

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

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.