Find the solution of y (4x + y) dx – 2 (x² – y) dy = 0

Q: The particular solution of y(x+y)dx + (x +2y- 1)dy=0; y(0) = 2 by NEDE is

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Q: Find the General/Particular Solution 6. (x + 2y)dx + (y- x)dy = 0

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy=0

A: The given differential equation is of Reducible Homogeneous form . We solve it using following way .

Q: dy Зу +4 Find the general solution: %3D dx 2y + 3

A: Topic - differential Equationd By separating Variables method

Q: Obtain the general solution of y√(1+x^2)dx+ x√(1+ y²)dy = 0 using variable separable method.

A: solution is given below..

Q: Find the particular solution of dy/dx=6e^3x+1,andf(0)=0.

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Q: Find the general solution of

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Q: A particular solution of 4x² dy dx dy 4 is vx +8.x- +y = de

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Q: Obtain the particular solution when x = 1 and y = 1 3 y°) dx 3 - x(x + y) dy = 0

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Q: dy is xy dx dx The general solution of y2 + x2 dy Other O

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Q: Find the general solution of dx -3 y=2cos3x . dx

A: The given differential equation is. d2ydx2+2dydx-3y =2cos3x This can be written as, D2+2D-3y=2cos3x…

Q: dy is dy xy dx dx The general solution of y² + x² "

A: Solution is given below:

Q: Q. 4. Find the solution of dx -10y 4e using variation of parameter method. dx %3D

A: We have to solve given problem:

Q: Determine the general solution of (xy^2+x)dx+(x^2 y-y)dy=0

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Q: Obtain the general solution. d²y e* 1. dx? dy 2 +y= dx x² +1

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Q: d²y 2) Obtain a particular solution for d*y dx+ + + y = x³ + 2x +1 dx2

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Q: (x + 2y – 4)dx - (2x + y - 5)dy = 0 What is the particular solution when y(3)=1?

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Q: Find the particular solution: (y4 – 2xy) dx + 3.x² dy = 0; when x = 2, y = 1 %3D

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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: Determine the general solution of (x-2y)dx + (2x+y)dy = 0

A: See the details solution in below

Q: dx xy+3x-y-3 dy xy-2x+4y-8

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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: The general solution of (y-1)dx −2(x+y+1)dy=0 by CL2V is

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Q: Solve the initial-value problem using the undetermined coefficients at the condition, y(0) = 2,…

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Q: dy dx ycos X こ y(o)=1 I +2y2

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Q: (c) Find the specific solution to d²y dx² when x = 0,= 0 and y = 1 +4 dy dx + 5y = 0

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Q: Find the general solution of 6y2 dx - x (2x3 + y) dy = 0

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Q: The solution of (1 – y² )dx + (1 + x² )dy = 0 is:

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Q: Find the general solution of y'dx+(3xy+ y² –1)dy = 0

A: The differential equation is given as , y2dx+3xy+y2-1dy=0 find general solution.

Q: Solve for the DE: (3x²y - y)dx + (x³-x+2y) dy =0 ; y(0)=2

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Q: Find the solution y = y(x) of dy y2 +y dx 0, x3/2 subject to y(1) = 1.

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Q: Let y(x) be the solution of the IVP dy - (y - 3)'dx = 0, y(0)=2. Evaluate y(13).

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Q: Find an implicit general solution of ( x² + dx + 1+ 4x²y², - y*) dy = 0 %3D 1+4x²y?

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Q: Q11) The solution of (1 – y² )dx + (1+ x² )dy = 0 is: %3D

A: 1-y2dx+1+x2dy=0 On simplification, we get ⇒1-y2dx=-1+x2dy⇒dx1+x2=-dy1-y2

Q: find the general solution of x(y+1) dx -x 2 dy=0

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Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy = 0

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Q: Find the general solution of (y + 1) dx + (4x – y) dy = 0

A: Since we are given with multiple number of questions and our guideline is solve the first question…

Q: Find the particular solution of (x+ y)dx +(x – y)dy = 0; when x = 1 y = 1.

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Q: Obtain the general solution. (1+y^2)dx+(x^2y+y)dy=0

A: Gien differential equation 1+y2dx+x2y+ydy=0To solve the differential equation we use variable…

Q: x(y-1) dx + (x +1) dy -0

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Q: d*y 2) Obtain a particular solution for d²y dy + dx + y = x3 + 2x +1 dx4 dx?

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Q: Find the Particular Solution: y(x - 6y)dx - x(2x - 9y)dy = 0 ; when x=1, y=1

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Q: 2. x3 – y3 = c³, find y" %3D d²x 3. x* = at?, find dt2

A: we need to find d2ydx2 from equation x3-y3=c3

Q: Find the particular solution of csc y dx + sec² x dy = 0; y = when x = 2 2

A: Given differential equation is cscy dx+sec2x dy=0. To find the particular solution if y=π2 when…

Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0.

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Q: Solve for the general solution. (x + y) dx + (3x + 3y - 4) dy = 0

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Q: The particular solution of y(x+ y)dx + (x+ 2y- 1)dy=0; y(0)= 2 by NEDE is

A: Let's find.

Q: Find the solution y = y(x) of y2 dy + y - dx = 0, x3/2 subject to y(1) = 1.

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