The solution of the ordinary differential equation y= (x + 1)e y², y(0) = 13 is Select one: O a. y (2+2)e 13 O b.y 212)e z 16 12 OCU (z+2)e 13 Od. y (2)e 25 13

Q: Solve the linear differential equation. dy(xy + 2y³) + y²dx = 0 %3D

A: Given,dyxy+2y3+y2dx=0Let y be the dependent variable. Divide by dx:dydxxy+2y3+y2=0Substitute  dydx…

Q: 1. x – 3x?y = c 2. y = c + ¬4x Cze

A:

Q: Salman, a second grader, is asked whether the following segment drawn on a page are parallel:

A: Given two line segments AB and CD

Q: H3. Solve the following differential equations dy 1) 2) d²y dx² +4+4y=x²²e-²x, dx d²y dy -6 +9y=e³x…

A: Sol:- 1) y'' +4y' +4y=x-2e-2xy'' +4y' +4y=e-2xx2The general solution to axy''+bxy'+cxy=gx can be…

Q: H3. Solve the following differential equations d²y dy 1) +4 +4y= x=²e-²x, dx² dx dy d²y dx²…

A:

Q: III. Find the differential equation whose solutions correspond to the following equation 1. y = Ce¬*…

A:

Q: d¹y dx4 d²y 2 zxp 0= h +

A:

Q: The solution of the differential equation (x³ + 3xy?)dx+ (y3+3x² y)dy=D0 is

A:

Q: Days 1-6 To figure out how many employees you will have out at a time, you decide to start keeping…

A: The number of infected people is growing exponentially, as evidenced by the rapid increase in the…

Q: Find the particular solution for the differential equation = at y = 2 and x = 0. dy 5x² dx 9y The…

A:

Q: Determine the solution of the differential equation by separating the variable dy ,3x-2y + x²e-2y dx

A: given differential equation dydx=e3x-2y+x2e-2y claim- solve the differential equation by separating…

Q: Find the differential equation whose general solution is y = c1 x + c2 e

A:

Q: Solve the Bernoulli differential equation dy 2 y3 +-y dx X x3

A:

Q: Solve the Euler Cauchy differential equation d²y x2. dx2 dy +y32(Inx) dx -

A:

Q: Find General Solutions for the following Differential Equations (Use Differential Operators). (D² -…

A: Follow the steps.

Q: Given: 20 + x)dx + x(x + 2y – 2)dy = 0, find the solutionto the differential equation. O a. y(x- 2y)…

A:

Q: What is the general solution of the differential equation xy - xex² 2x²y? O y = xe ² + Ce-2² O y =…

A:

Q: (3x² +9xy) dx+ (2x² + 2y) dy 20

A: The differential equation  is said to be exact differential equation if The solution of the…

Q: x² dx + xy = 1 2 dy dx 3) X (linear equation)

A:

Q: dy = (4x + y+1)? [Hint. Put 4x + y +1 = z] Ans. tan - 4x + y+1 2 2x+C d x

A: Variable separable form: Let us consider differential equation: dydx=f(x)g(y) g(y)dy=f(x)dx…

Q: Which of the following is the general solution to the differential equation + 2x - 2x*y'dy dx+ 2x

A: We have to find the general solution to the given differential equation.

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.