B// Find general solution for following y" – y' - 2y = e-*

Q: (174x) dy + 2xCyti) dx c0 ; y(i) = l

A:

Q: Solve the differential equation as follows: 8x(x² + 3xy + y-)dx + (28x³ + 5x*y¬1 + 6x²y¬2 + 6y¯2) dy…

A: Given that, 8xx2+3xy+y-1dx+28x3+5x4y-1+6x2y-2+6y-32dy=0 Let, M=8x3+24x2y+8xy-1 and…

Q: (3y²-x²» = 0 ;when x = 1, y = 1 2y4

A:

Q: (2x + y- 1)dy + (4x + 2y – 3) dx = 0; when x = 1, y = 2 %3D

A:

Q: 5. xy' = y - x2 – y?

A:

Q: 1. Solve the given differential equation and find the interval of definition: y' = x²/y

A:

Q: 1. DIFFERENTIAL EQUATION (2y³ + 4) dx = (6-2xy²) dy

A: Note :- These are multuple questions and according to our comapny guideline we can do maximum 1…

Q: y'''-3y''+y'+5y=(t^2)(e^t)-5

A:

Q: 8. The general solution of y"- y = x²ex + 5

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Q: dy dx = x+1 2(y+3)

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Q: 1 Find the general solution x'y" + xy' – y= 1+x

A: To find particular solution we use the method of variation of parameters

Q: given the differential equation, We have to find approximate solution using Taylor series method.…

A: The taylor series for the solution of differential equation.

Q: Find the differential equation for the family of curves defined by y = cx^2.

A:

Q: Find a general solution for y'+ (1/x)y = 0, for x > 0. To receive any credit, you must use the…

A: To Find a general solution for y'+ (1/x)y = 0, for x > 0. We use the method of seperation of…

Q: dy Solve (x2 + 4) 2+ 3xy = x, y(0) = 1 dx

A: We solve the given differential equation by separating the variables.

Q: (i+ x3 dy + Gxcyti) dx =0 ; y() =

A: Using variable separable method,

Q: Find the general solution to the differential equation modeling how a person learns: dy 100 – y. dt

A: Given the differential equation modeling :

Q: y" − 3y' — 4y = -12t (Make sure to find all possible values of the constant variables.)

A:

Q: 2y" + 3y' + y= 3sin x+ xe

A:

Q: 2スy= cos y ; y(4) = 4 = COS

A:

Q: Particular solution of y" - 4y' + 8y = x³, when x = 0, y = 2, y' = 4

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Q: 4. xt' + t = xt³

A: Given differential equation is, xt'+t=xt3. . . . (1) Rearranging the equation -xt3+xt'+t=0 Let us…

Q: Match the differential equation with its slope field; justify your answers.

A:

Q: 7. The particular solution of (D³ - 5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

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Q: 2y (y² – x )dy = dx

A: Please see the below picture for detailed solution.

Q: B-Soive the Differential equation: y x√x+x 0, y(0)=1.

A:

Q: 3. y'= 1t 3y tan x

A:

Q: xy' = y elwy) – x

A:

Q: ] 2. Use equation (2) to derive two ordinary differential equations (ODEs), one in spacer and one in…

A: Like ordinary differential equation, a partial differential equation is also solved through the…

Q: Can someone please help me with my problem in Differential Equations. Please write the complete…

A: The Auxiliary equation is D3-3D2+2D-6=0 Using trial D=3 is one root  D-3D2+2D3-3D2+2D-6D33D22D-6…

Q: y dx--dy = 0 %3D dx +-dy = 0 %3D

A: Both differential equation can be written as exact form.

Q: (D² - 1)y 2 1+ex

A: In this question we have to find the solution of the differential equation.

Q: Determine the Differential equations that you could solve using Separation of Variables, Homogenous…

A: Solve  differential equations - ( y3 + y +1) dx + x ( x - 3y2 - 1)dy = 0. Here i attached solution…

Q: —— Solve given differential equation 2(xdy+ydx)+3x2dx=0; when x=1 y=2

A: Given: The differential equation is 2(xdy+ydx)+3x2dx=0 To find: Solution of the differential…

Q: Find the general solution of the differential equation. (Enter your solution as an equation.) dr/ds…

A: We have to find general solution of the differential equation: drds=35s Solving by method of…

Q: Hi, could you please help me solve this differential equation: (x^2*y´´)-(3x*y´)+3y=2(x^4)*e^x

A: The given differential equation is  x2y"-3xy'+3y=2x4ex This is Cauchy Euler Differential equation .…

Q: 1. xy +y = xy

A: Given: xy'+y=xy3 ....i Rewrite the equation: y'+yx=y3 The given differential equation is of the form…

Q: 4. 2ydx + (x x* y) dy = 0 –

A:

Q: Please help me, i need it right away.   Solve the Differential Equation by Separation of…

A:

Q: Find a general solution to the differential equation (implicit if necessary, explicit if dy…

A:

Q: 4. y" +y = 2xsinx

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Q: d'y d°y 1с. 4 - 3 = 0 dx .6 dx° 3,

A: Topic -order and degree of differential equation

Q: y' = x – 2y

A:

Q: 2. Find the particular solution of the differential equation 4(1+ 3x)? if y = -1,y' = -2 when x =…

A:

Q: Can someone please help me with my problem in Differential Equations. Please write the complete…

A:

Q: (xy - 1)ydx + (xy + xy² + 1)xdy = 0

A:

Q: A tank contains 1000 liters of brine with 15 kg of dissolved salt. Pure water enters the tank at a…

A:

Q: Solve the following separable differential equation and initial condition. 0.20 (y – 10) ; y(0) = 30

A: The given differential equation is a variable separable differential equation, so to solve the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.