d²y Solve the particular solution for = 2 – 4x when points (0, 2) and (-1, 3) are on the dx2 curve.

Q: Solve the diff eq. (Homogenous) dy dx + x²(y² + 3) y(x³ + 1)

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Q: SOLVE USING BERNOULLI'S EQUATION dy/dx=y-x(y^3)(e^(-2x))

A: Differntial equation

Q: Find d2y/dx2 implicitly in terms of x and y.

A: we have;  xy-1=2x+y2 ................................(1) differential equation with respect to x

Q: 3x2 what is the equation of the dy Given dx x³ + 5' curve that passes through the point (0,0)?

A: To find the equation of the curve that passes through the point (0,0)

Q: Find d2y/dx2 implicitly in terms of x and y. xy − 1 = 2x + y2

A: xy − 1 = 2x + y2 We need to find  d2y/dx2 implicitly in terms of x and y

Q: ア- 3 2x dx -dy = 0 Solve dk +

A: Solve the first order differential equation, using exact differential equation method.

Q: dx dt -1 -3 [:] 2 with x(0) 4 Give your solution in real form.

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Q: Q3: Solve (x + y)dx - x dy = 0

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Q: (x-y-2)dk t3x ty-1)dy=0

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Q: Q2: solve the equation 3 dx 2х * dy y

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Q: (d) Evaluate [(2xr² – 3x)dxusing formula develop in part (c)

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Q: 2. Solve dx2 d²y for x = u? + 1 and y = 3u3 – 3u in terms of the parameter u. -

A: Given query is to find indicated derivative.

Q: B. Solve the followina equation using the dete 3. 2y(x2 -y + x) dx + (x2- 2y) dy = 0

A: Given,                  2y(x2-y+x)dx+(x2-2y)dy=0

Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0 %3D

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Q: Solve using Bernoulli's Equation. y(6y^2 - x - 1) dx +2x dy = 0

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Q: - Solve the equation 3(y+1)dx-(x+y+3)dy =0.

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Q: 4. (D² – 10D + 34)y = -cos3x

A: Using method of Linear Differential Equations with constant coefficients.

Q: Find the equation of the solution to dy/dx=x4y through the point (x,y)=(1,5).

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Q: S(y* - y-3)dy

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Q: 2r-r2 -3 zVx2 + y2 dz dy dx. 0. 0.

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Q: d²y Solve: dx2 dy + 42+ 4y = 4x²e¬2x, cos 2x %3D dx

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Q: 2e2x) when x=0 and y=3. dx Compute

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Q: Solve: (2x + 3y – 5)dx + (3x – y – 2)dy = 0 . Show solution for determining the coordinates of the…

A: Find your answer below

Q: -4x-2 FInd given y =-2 dx Sx+3

A: By using partial differentiation.

Q: Q2/ solve; dy A: dx y **= e* + y3 x+1

A: Consider the given differential equation as below: dydx-y(x+1)=exy3 Here the objective is to find…

Q: Solve for d2y/dx2 for x = u2 - 3 and y = 4u3 - 2u

A: Given x=u2-3 and y=4u3-2u. To find d2ydx2. Solution: We have, x=u2-3 Differentiating the given…

Q: Find the General and Particular solution of = 3y ; y= 3,when x = dx

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Q: SOLVE THE EQUATION (y -2) dx - (x-y-Ddy = o ISSING THE DE LINEAR IN x 4 Y VAKIABLES.

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Q: Solve the particular solution of (xª + y³)dx – 2x° dy= 0 when x = 2, y = 3. -

A: We can rewrite the given equation as,  (xy+y3)dx = 2x3dy xydx+y3dx = 2x3dy

Q: dy y 5. Solve dx 5(x-2)y2 %3D (х- 2)

A: We first convert the given differential equation into the linear differential equation, then solve…

Q: Solve the equation (4y + 2x – 5 dx + (6 y + 4x – 1 dy = 0 subject to the initial condition y(-1)= 2.…

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Q: x² - y² + xy dy/dx =0  What is the general solution of differantial equation

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Q: Find the particular solution of (dy/dx) = (5x3 + x2 - 2); y = 1 when x = 0

A: Given: dydx=5x3+x2-2; y=1 when x=0

Q: Find the general solution: k^2 dx+(x-y+k)^2 dy3D0

A: Given that: k2dx+(x-y+k)2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: Find the yp of the equation (D2 +4y=asinax + 4e ex %3D

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Q: Q2) Solve (y+ysin x) dx - (cosx- 2xy +) dy = 0

A: Given differential equation is  y2+ysinxdx+-cosx+2xy-1y2+1dy=0 Comparing it with Mdx+Ndy=0, we get,…

Q: Find the particular solution from y(9x-2y)dx-x(6x-y)dy=0  when x=1/3 and y=5/2.

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Q: Solve the particular solution of the equation dy/dx = 3x² - 2x, when y=2 and x=-1.

A: We can solve the given problem as follows:

Q: Find dy/dx2 implicitly in terms of x and y. x*y – 6x = 9

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Q: Q2) Solve (y² + ysin x) dx – (cosx – 2xy +) dy = 0

A: If the equation is of form, Mdx+Ndy=0, then the equation is exact if ∂M∂y=∂N∂x. If the equation is…

Q: Solve the DE. (1+x²)dy + [(1-x)²-xe^-x]dx = 0; when x = 0, y = −2

A: This is a problem of ordinary differential equation. first of all we will simplify it into dy/dx…

Q: Find the complete solution: 16) = x2 – 2x – 4, y= -6 when x= 3 | dx

A: ∫xn dx = xn+1n+1+C

Q: Find the solution of: dy 2y 3x when x = 1, y = -1 dx 2у + ||

A: A differential equation of first order is said to be homogeneous if it is of the form dydx=Fyx. It…

Q: d²y dy Solve 3 dx2 - y = 0 dx

A: our objective is to solve the differential equation.

Q: Solve: 3(1 + t?)(dy/dt) = 2ty(y³ - 1). %3D

A: Solve the integral 31+t2dydt=2tyy3-1. Use the separation of variable method. 1yy3-1y'…

Q: Q1- d?y Classify and Solve; dy = 0 dx dx2

A: Given: Differential equation is d2 yd x2 +dydx= 0 To classify and solve above differential equation…

Q: Solve this DE:  (x-y-2)dx + (3x+y-10)dy = 0

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Q: 2. Solve the equation (y²- 1) dy/dx -3y, given that when x = 13 y-l

A: Hello

Q: Solve the (1+) d x = (b an y -x) dy

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