Determine-for the implicit equation x2-10 y = 3x dy

Q: Solve using implicit differentation.    x ey = 3x-3y

A: Given;   x ey = 3x-3y

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A: Here we combine C1 and C2 and then Apply Green's Theorem.

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Q: find the general equation of : x^3dy+xydx=x^2dy+2ydx  ;y=e when x=2

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A: The given integrals are' 1)1/sqrt(x2-4x-7)  2)7/(y2-8y+5).

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A: Solve the differential equation 6x+y2dx+y2x-3ydy=0

Q: Ql:- Solve 2+ y = 2 dx 1+x+y.

A: The solution for the above problem is shown below.

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A: we need to find out the solution of the differential equation.

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Q: Solve (2x-10y)dy/dx+y=0

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Q: Solve y' = x2 + y for x=1, taking h=0.2, y(0)=0. Find y(1)

A: Given differential equation                                         y'=x2+y with initial value…

Q: Solve the equation: dy 2y -a²y? sec² (x) dx

A: Given dydx+2yx=-x2y2sec2(x)

Q: Solve 1) y" + y' – 6y = x2 2) y" + y' – 6 = tx Where t: constant

A: (1).   The given differential equation is:  y''+y'-6y=x2 The characteristic equation of the…

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Q: Solve for dx/y-xdy/y^2=0

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Q: use Separation of Variables to find the general solution. y' = x sec y

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Q: Solve the equation (2y°-x°) dx t 3x*y dy =0 y + p(x) y= 9 (x) y" independent y dependent

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Q: Solve (x-y)dy=ydx

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Q: solve y2dx+(3xy-1)dy=0

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Q: xdy-ydx=√(x^2+y^2) dx x=1/2, and y=0 solve using homogeneous equation

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Q: \y' = (y – 2) cotx -lve it as separable equation and verify your swer by solving it as a linear…

A: Topic = Differentail equation

Q: Differentiate the following implicit equation for y(x) with respect to r: 3x – a°y+ 4y³ = 6

A: Finding dy/dx

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Q: Solve y"(t)- 2y' (t) + 5y(t) = H(t); y(0) = 0; y'(0) = 1; where H(t) = (t+2,0 ≤t <2 2t - 3,122

A: We have to solve by Laplace transform.

Q: Q1: Solve (x – 1)(x – 2) + y = x2 dx

A: Write the equation in the standard form. dydx+1x-1x-2y=x2x-1x-2               ...1

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

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Q: y'+ 3 y = 4 x y(0)= 3 Y(x)=|

A: We can solve the initial value problem as below.

Q: Solve for the derivatives. For 16-20. y = -7x5 + 3x3 – 2x а. 35x4 — 9х2 + 2 b. 35х* + 9х3 + 2 с.…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

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

A: