y" + 2 y' + y =

Q: Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt…

A: The brine is entering more and going out less at rate (3 gal/min -2 gal/min = 1 gal/min), so…

Q: Find the general solution of seperable differential equation dy/dx=x3y2

A:

Q: determine the general solution to thegiven differential equation. Derive your trial solution…

A:

Q: By using suitable method, form an ordinary differential equation by eliminating constant A from the…

A:

Q: Find the general solution of the first order differential equation (x+2) y′ + 4y = (3x + 6)-2 lnx.

A: Given: x+2y'+4y=3x+6-2lnx for finding solution of given differential equation, first we convert it…

Q: Eliminate the arbitrary constants: y= x+ Ce2x + C2e¬x 1.

A:

Q: The diffeterctial equation is y²dx+ 3xZy² dx + dy=0

A: In the given question we have to find the value of the constant c at the point (2,1) when we solve…

Q: Find the value of the arbitrary constant of the particular solution of the differential equation…

A:

Q: Find a first order differential equation for which y2 sin(xy) + (2xe)cos(x)) = 3 is an implicit…

A:

Q: Solve the Higher Order Linear Differential Equation: yiv – y’’’ + 2y’ = 0

A:

Q: use the method of variation of parameters to find a particular solution of the given differential…

A:

Q: The solution of the given differential equation for y(1.5) is h=0.1 interval value. Calculate by…

A: Euler's method uses the formula, yn+1=yn+hf(xn,yn) to perform the iterations.

Q: find the general solution of the first-order linear differential equation. y' + y = ex

A:

Q: particular

A:

Q: Suppose that a fourth order differential equation has a solution y = -3e5Isin(z). Find the initial…

A:

Q: Find the general solution of xy' + y = y2lnx Bernoulli's differential equation.

A:

Q: What is the appropriate method to find the general solution of this differential equation?

A:

Q: 4 y"+y = sectx %3D

A:

Q: 4. (D* – 1)y = 0

A:

Q: -3-x+x. y (0) -2. y(0)

A:

Q: Solve the general solution of the second order linear differential equation with constant…

A: rewriting the equation we get  y'-1t2-1y2=-1t2-1

Q: Solve for the general solution of the given first-ordered Linear Differential Equation udx + (1 —…

A:

Q: Find the general solution of the first-order linear differential equation

A: To solve the differential equation dydx-5yx2=1x2, isolate the variables x and y.…

Q: 11. у" - у" - у +у%3D0

A:

Q: 2. Form the differential equation from the family of curves y² = Ax² – Bx² , where A and B are…

A:

Q: Find the differential equation of the family of cissoids: y^2 = x^3/ (a-x)

A: Perform the differentiation and eliminate the constant term in the differential equation to obtain…

Q: y' = y + y3

A:

Q: Determine the appropriate form for yp on the differential equation y" = 9x^2 + 2x - 1 %3D

A:

Q: y"+y = cosecx cotx %3D

A:

Q: Find the solution of a given non-homogeneous differential equation using the variation of…

A:

Q: If we use the method of variation of parameters, the particular solution of the following…

A:

Q: use the method of variation of parameters to find a particular solution of the given differential…

A: solution:-  The given differential equation is  y''+4y=cos3x The auxiliary equation of above…

Q: use the method of variation of parameters to find a particular solution of the given differential…

A: To solve the following differential equation using the method of variation of parameters to find the…

Q: The particular solution of the differential equation: et y" – 2y' + y =

A: Please see the explanation below

Q: 1 y" + 3 y' + 2 y 1+ et

A: Given differential equation is as below:

Q: Find the general solution of the first-order differential equation                       y cos x −…

A: Given: y-1cosx+dydx=0 for finding solution of given differential equation, we use variable separable…

Q: y' + 2y = cos(2x)

A:

Q: What form of the particular solution is appropriate for the differential equationy'' - y'=4+4e*.

A:

Q: 3. (D² + 4)y = 0

A: Given:         D2+4y=0      Auxiliary equation is        m2+4=0         m2=-4          m=±-4…

Q: Use the initial condition to find the particular solution of the differential equation. differential…

A:

Q: Obtain the general solution of the given Differential Equation using the Method of Variation of…

A:

Q: Find the equilibrium point(s) for the differential equation y" =y - y2 and determine their stability

A:

Q: Form a differential equation by eliminating the arbitrary constants A and B from the equation y =…

A: to find differential  equation we first form two Equation by differentiating y two times using…

Q: Solve the second order linear differential equation using method of undermined coeeficient…

A: Now, the equation on the right if of the form x2+1. Thus, particular solution of 3y''+2y'-y=x2+1 is…

Q: y' = ycotx + y²cscx

A:

Q: For the differential equation y" --y' --= 0, find a particular solution which satisfies the initial…

A: To find the particular solution for the given differential equation which satisfies the initial…

Q: Solve Bernoulli differential equation of y + ry = ry².

A:

Q: Solve the Differential Equation using METHODS OF UNDETERMINED COEFFICIENT: y''+y'-3y=4sin2x

A:

Q: 2. y' + p(x)y = q(x)

A:

Q: Use the method of variation of parameters to find the general solution of the given differential…

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.