Solve for y: x=2y+1/3y-3 y=

Q: y"-9y=x/e^3x

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Q: Solve the equation (x - xy + y )dx - xydy = 0. %3D O (y - x) el:) O (y - x) = cel)

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Q: Solve 1) y" + y = e* + x² 2) y" – y' – 6y = e-2x + 4sinx

A: here first take d/dx = D then make its auxilary equation then find complementary solution then find…

Q: Solve the equation (6x + y?) dx +y (2x – 3y) dy = 0. -

A: Given,  (6x+y^2)dx + y(2x-3y)dy=0

Q: y′′−9y = e^3tsin(t)

A: We have to solve given problem:

Q: dy y = x-'(a² + x²)¿, solve for dx

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Q: Vye-y" dy 2.

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Q: 4. Find y' where y = – 1)^(2x – 1)3

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Q: Cx + Hy=J , solve for x

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Q: (D² +1)y = sec x. %3D

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Q: y = (x+1)Vx +3

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Q: Find dy for the following equation. y= 3x/4 -x3

A: Given: The function is  y=3x4-x3   To determine: The differential dy for the function y=3x4-x3

Q: Solve for m | |m8xy+x)dxdy=3, 0<y<x<1

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Q: Find the solution to xy' +y =x² + 1

A: To solve the given differential equations ,  After some steps , it is converted into linear…

Q: Solve the IVP y" + y'+ 1.25y = 0; where y(0) = 3 and y'(0) = 1

A: The given differential equation is y''+y'+1.25y=0 with y0=3   and  y'0=1. Its auxiliary equation is…

Q: Find the solution. 4. (x – y)dx + (3x + y)dy = 0

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Q: solve ydx +(x-y)dy=0

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Q: Find y dx' 1. y (32x)³(x² - 2)

A: Here is the solution

Q: Q3) If y² + xy = 1, find y" at the point (0, -1)

A: We will differentiate twice and find the value of y" and it will be equal to,   - 1/4      The…

Q: y varies directly as x can be modeled by the equation______ , where k is called the_______ .

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Q: Solve the equation xydx - (x + 2)dy = 0

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Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: solve using the appropriate method. y + 3y − 1/ t = t + 2

A: y+3y-1t=t+2y+3y-1t-y+3y=t+2-y+3ySimplify: -1t=t+2-4yMultiply t: -1tt=tt+2t-4ytSimplify: -1=t2+2t-4yt

Q: Q1: Solve (x - 1)(x – 2)+y = x“ dx

A: The question is taken from the calculus in which we have to find the solution of the given…

Q: Solve xy' = y +1

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Q: Find y'. y=x V6x - 1

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Q: dx (x+1)(X'+9) 2. Find Solution.

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Q: Find Y in terms of x and y. d2y

A: Given an equation in terms of y and x as shown belowWe need to differentiate it with respect to x…

Q: Solve for y. y' = 7x + xy​; y = - 4 when x = 0

A: Given,  y'=7x+xy,  y=-4 when x=0

Q: Solve 2yy′ + 1= y2 + x, with y(0) = 1

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Q: Solve the DE 3y2 Y +x-1y3 =x*. dx

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Q: Solve for y in terms of x: x - 2y = 1 4x - 8y =4

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Q: 3t X : || 1+t³ 3t 2 y 1+t3 t + -1

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Q: nd Solve:- Qz: Chassify - 3x dy +(3X+リ』= e

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Q: Solve y'+xy= xy“.

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Q: Solve for y when x=o degrees: y=2sinx

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Q: Solve: xdy - (y + xy + xy²) dx = 0. %3D

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Q: Solve the homogenous equation (y +(x^2 + y^2)^1/2)dx−xdy = 0

A: According to the given information, it is required to solve the given homogeneous differential…

Q: Q1: solve the equation (y +x )dy + (x - y )dx = 0

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Q: Solve the equation. * (x + 2y – 4) dx – (2x + y– 5) dy = 0

A: (x-y-1)3 = c(x+y-3) is correct option.

Q: Solve the equation (2xy+y)dx + (x²-x)dy=0

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Q: Solve y' - y - xe = 0 9 y = e* (+c) | Dl y = +e)

A: The given differential equation is y'-y-xex=0 This can be written in the form dydx-y=xex This is a…

Q: (y – Jx² + y² )dx -xdy = 0, when x = v3 and y = 1

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Q: Solve the DE y'=xy^3(1+x^2)^-1/2 ; y(0)=1

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Q: Solve: Ux =x cosy 410y)= y3; ull,y) = es

A: When partial differentiation is done with respect to a variable, all other variables are assumed to…

Q: Solve (y- Vx² + y² )dx – xdy = 0 When: x= 0, y = 1

A: Explanation of the answer is as follows

Q: Solve y dx - (axdy + a²dx) = x²(y² - a²)dy

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Q: Find y' given y = (x³ – x² + 3x + 10)S

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Q: Fh(x)= x° – 5xª – 35a³ 35x3

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.