Find a particular solution of the following differential equation. y" – 3y' – 4y = 3e2t

Q: Find the general solution to the following differential equation by using method of undetermined…

A: Sol

Q: Find the differential equation corresponding to each of the following equations by eliminating the…

A: This question is related to differential equations, we will solve it using given information.

Q: Find the general solution to the following nonhomogeneous differential equation using the method of…

A: The given nonhomogeneous differential equation is y''+4y=cos3x. Calculate the general solution of…

Q: Find the particular solution to the following separable differential equation. dy x? and y(3) = 2 dx…

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Q: Show that the following differential equation is perfect or not, then find its general solution:…

A: Introduction: Any equation with one or more terms is a differential equation. It includes taking the…

Q: Find the solution r(t) of the differential equation with the given initial condition:

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Q: Give the General Solution of the following Differential Equation 1. (ex-y)(e²y + 1)¹/2 dx = dy

A: We have to find the general solution of differential equation

Q: Find the general solution for the following differential equation: y" – 3 y' + 2 y = cos e-*

A: to find the general solution , consider the  equation y''-3y'+2y=0  the auxiliary equation is…

Q: 3. Find the general solution of the differential equation y(4) — 4y" = t² +et.

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Q: find the general solution of the differential equation dy/dx+ycotx=5e^cosx

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Q: Give the General Solution of the following Differential Equation 1. (ex-y)(1-²y)¹/2 dx = dy

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Q: 2tds + s(2 + s²t)dt = 0

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Q: dy ycotx + y³cscx dx 5.

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Q: Solve the following differential equation: y" – 2y' + y = e* In(x)

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Q: dy 3(1 + P) - 2ty(y³ – 1) dt

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Q: Find the value of k so that the given differential equation is exact. + kxy - 2x) dx + (3xy² +…

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Q: Obtain the particular solution for the following differential equation if y(7) = 1 (3x² + ycosx)dx +…

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Q: 2. Find the particular solution to the differential equation dy 2y? dx cosec (x) if the point…

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Q: Solve the following homogeneous first order differential equation: 3xy- dx dy = y² +3x2

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Q: Find the general solution of the following differential equation. Primes denote derivatives with…

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Q: 2 = 5y + e-2*y-2 ; when y(0) = 2 dx

A: Given:    y'=5y+e-2xy-2     y(0) = 2

Q: What is the general solution of the given differential equation below? y' – 3y = 6

A: In the question we have to find general solution of the differential equation.   NOTE - As per…

Q: Obtain the particular solution for the following differential equation if y(n) = 1 (3x2 + ycosx)dx +…

A: Detail solution written below

Q: Find the general solution of the following differential equation. 1 y" +y 1 y = In r

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Q: Obtain the general solution of the given differential equation: dy = cos²xcosydx

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Q: y"-2y'+5y = e"sinx

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Q: 3. Select the correct type for the following differential equation (2xy + 3y²) – (2xy + x²)y' = 0

A: The given differential equation is: (2xy+3y2)-(2xy+x2)y'=0(2xy+3y2)dx-(2xy+x2)dy=0Here, M=2xy+3y2 ;…

Q: Find the general solution of the separable differential equation dy dxy (2x + 3) e3y

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Q: Give the General Solution of the following Differential Equation 1. (ex+y+ex) dx = dy

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Q: Solve the differential equation with the given initial condition. y' = y – e2ty4, y(0) = 1

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Q: Solve the given differential equation. (Hint: Bernoulli) y' + y = y?

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Q: Use the method of undetermined coefficients to find a general solution to the differential equation:…

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Q: Find a general solution for the given differential equation with x as the independent variable.…

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Q: dy У(ху3 — 1) dx

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Q: Find the general solution of the following ordinary differential equation (x-2y-3)dx+ (2x+y-1)dy-0…

A: x-2y-3dx + 2x+y-1dy =0 --------(1) Now solve in the form of  dydx So we get  dydx=-x+2y+32x+y-1 now…

Q: Solve the following 2nd order differential equation by Varition of parameters method. (D2 + 9) y =…

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Q: 3) ( y³ + × )V = 1 x (2) = 1

A: In the given problem initial conditions was wrong it should be y(2) =1 instead of x(2) =1, since 'y'…

Q: Consider the differential equation, y'+ ty = t , with the initial condition that y(1) = 4.  Use…

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Q: Given the differential equation y' – 2y = e2x with Initial Condition y(0) = 2, which of the…

A: I have given the answer in Step-2.

Q: obtain the solution of the following differential equation y'=cos^2x cosy

A: Given differential equation is: dydx=cos2xcosy Use variable separable to get solution of…

Q: Consider the given differential equation yx dy +y*dx = -4y³xdy and do the following:

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Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy² +…

A: Given differential equation is (y3+kxy4-2x)dx+(3xy2+20x2y3)=0

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: The given DE is: xdydx+y=1y2⇒y2dydx+y3x=1x...(1) Now, substitute y3=u⇒3y2dydx=dudx⇒y2dydx=13dudx

Q: dy + 6ycos3x = cos3x dx

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Q: I. Find the differential equation by eliminating the arbitrary constant/s. 1. y-¹ = x(3e² + c)

A: Given That : y-1=x(3ex+c) To Find: Differential Equation by eliminating the constant

Q: find the general solution of the following differential equation if one solution is known to be y=x…

A: Using the reduction of order

Q: Give the General Solution of the following Differential Equation 1. (ex-y)(1-e²y)1/2 dx = dy

A: The given differential equation is: ex-y1-e2y12dx=dy To find the general solution to the given…

Q: Solve the differential equation given below using the initial condition. dy/dx-ye2x=2    y(0)=1

A: Solution: The objective is to  find the solution of the given differential equation

Q: Solve the given differential equation by using an appropriate substitution dy x+3y 3x+y dx

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Q: Apply the undetermined coefficients method to find a particular solution of the following…

A: I solve the question in two different method that I show given below.

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.