Solve the following 1st order differential equations using the method of integrating factors. A) y'+2y=50e-10t ;  y(0)=40

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: dy=(y + 9x) dx y + 9x = u

A:

Q: The solution of the homogeneous first order differential equation is (x² - y²)dx + xydy = 0 O y=cx^2…

A:

Q: Using the substitution y=vxanddy=vdx+xdv, solve the homogeneous differential equation [xsin(-)-y]dx…

A:

Q: How to solve this equation y'''+2y''+4y'+8y=5e^(3t)+1 using Method of Undetermined Coefficient

A:

Q: Q/Solve the differential equation by seperable 1) dy=(y + 9x) dx 2) dx 3) dx - 1 1+ y² dy = 0 y + 9x…

A:

Q: Solve using homogeneous differential equations

A:

Q: Draw the phase line to the differential equation: dy/dt = -2(y-4) * y^(4) * (y+1) = f(y).

A: Given: dydt=-2(y-4)y4(y-1) To draw: phase line.

Q: (3 + xy³)dx + (5y² – xy + y³ sin y) dy = 0 %3D Let M = y² + xy' and N = 5y² – xy + y³ sin y 13. The…

A:

Q: \(d\) is a metric on \(X\). Show that \(\rho : X^2 \to [0,\infty)\) defined by \[ \rho(x,y) =…

A:

Q: (2yxe*+2x?ye*)dx +(6y®x -2x²e*)dy = 0 1 (x, y) a) .2 xy² Show that the differential equation is…

A:

Q: What must the constant A be for the differential equation (Ax^2y+2y^2)dx+ (x^3+4xy)dy = 0 to be…

A:

Q: (5x4y2+y)dx+(4y4-x)dy= 0 differential equation is multiplied by whichever of the following, it…

A:

Q: find a general solution to the differential equation y’=(x^2-4) (3y+2) using the method of…

A: y'=x2-43y+2 To find: Solution of given differential equation by using separation of variables.

Q: Question 6 Prior to running the Boston Marathon, a runner's personal best pace for a race is 10…

A: Given that Prior to running the Boston Marathon, a runner’s personal best pace for a race is 10…

Q: SHOW COMPLETE SOLUTION PLS. Show that y=ex(1+x) is a solution of the differential equation…

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: Obtain the general solution of the given differential equation: 1. 3(y+1)dx+xydy=0 2.…

A: Since you have posted many parts here, i can answer only first three. Please reupload part 4. Thank…

Q: 1-Solve the homogeneous differential equation xy dy/dx - y^2=(x+y)^2 e^-y/x).   2- Solve the non…

A:

Q: n the differential equation (xy +1)dx+x(x+4y– 2)dy = 0, the integrating factor is

A:

Q: Find the general solution of the following differential equation: a) t * dy/dt = (1-y^(2))^(1/2).…

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: 1.   (1+2y)dx-(4-x)dy=0  2.   d^2y/dx^2  -  2 (dy/dx)  = e^x sinx  solve the differential…

A: We solve the 1st  problem by making it exact form .  and solve the 2nd problem by using C.F and P.I…

Q: Find a fundamental set of Frobenius solutions of the differential 4x² + x(7+2x+4x²) y'-(1-4x-7x²)y=0

A:

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.