The general solution |dy(x) He )-Ax+ 2y-1 to the equation dx O True OError

Q: Find the general solution of the equation x(y2 + 1)dx + (1+ x²)dy = 0. A. In(x2 + 1) + 2Arctan y = c…

A: The given equation is; x(y2+1)dx + (1+x2)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: 5. Find the general solution of the given DE: 2x + 2xy2 y + 2x?y dy dx

A: First We will separate X and y terms of the given differential equation and than integration gives…

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

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Q: The general solution of y" - 2y' +y= e* cos(x) is

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Q: Find the general solution of this DE: yyx = e¬4y sin /x dx

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Q: - x y² dx + e* dy = 0,y(0) = ; 2

A: Given differential equation xy2dx+exdy=0

Q: dr - (x- 2) ey dy = 0

A: Given Differential equation is linear. We will solve it by finding integrating factor

Q: Apply classical fourth-order Runge-Kutta method to solve dy dx f(x,y) == 4e®** –0.3y , using h=0.5…

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Q: A: Compute dy at (2, 1) where y = xcos2x dx B: Solve for x: a2 (y³ + vx-4 +y sin2x) < 4cos2r Тдхду…

A: Please see the answer below.

Q: The approximation of I = (x-3)e* dx by composite Trapezoidal rule with %3D n=4 is:

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Q: x'e* cos 3xdx + -dy = 0 Vỹ - 1 %3D

A: In this question, we solve the separable differential equation by direct integral. the differential…

Q: B) Find the general solution to the following DE. dy y? + x2 = 0 dx

A: Given differential equation is y2+x2 dydx=0

Q: The general solution of V – 2x)dx+(2xy+ 1)dy=0 is?

A: (y2-2x)dx+(2xy+1)dy=0y2dx-2xdx+2xydy+dy=0y2dx+2xydy-2xdx+dy=0d(xy2)-2xdx+dy=0Now integrate both…

Q: Find the general solution of dy xy = 1+ y?

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Q: 6. General solution is y = x² In x + Ca² , EXERCISE 6. dy 2y = x? dx

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Q: Sin²y dy V1 -x, given that y(-3) = 0. dx 2) Snow that the general solution for (x2 +x-6)dy = 4y dx…

A: Given that  The following differential equations

Q: Find the particular solution to DE:  ( xy^2 - x ) dx - ( 2x^2y - 3y ) dy = 0 ; y ( 1 ) = 2

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Q: 2. Find the general solution of d²y dy +5- dr.² dx 6y=0

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Q: What is the solution of the DE e dx – x² dy = 0? A. y = (c - B. y= In (c - C. y = In (c - x) D. y =…

A: As per our guidelines we are supposed to answer one question, kindly repost the remaining question…

Q: What is the answer for this DE? 1.) (y -

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Q: So S (2x + 3z – y). dz. dy. dx B- Solve

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Q: Solve for general solution using Bernoulli method x?y dx + (1+ x³)dy = 0

A: x2ydx+(1+x3)dy=0dydx+(x21+x3)y=0.which is in the form of burnouli's equationdydx+Py=Qynhere P=x21+x3…

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: 2. Obtain the particular solution when x = 1 and y = 1 y(? - y? + 1) dx – x(x² - y? - 1) dy = xlx? -…

A: Here is the solution of the given differential equation.

Q: 3. Solve the DE dy a. = x + 2x dx 3 dy b. dx dy C. = 4 cos 6x - dx 4 dy d. dx %3D x2-1 dy e. dx %3D…

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Q: 3. Obtain the Particular Solution when x = 4 and y = 1 (x+ y - 4)dx - (3x- y – 4)dy = 0 %3D

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Q: 4 dy 5. х dx + бу %3D 3хуз 3xy

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Q: r1 -x²-y² •1 p? sin ф dp dф d@ 1+ p2 dz dy dx is equivalent to 1+ x2 + y? + z2

A: This is a method of solving integral by converting cartesian coordinates into spherical coordinates.…

Q: dy a) If all of y = 4n2 + 5n + 1,x 3n + 2 find dx b) if yx2+Vx + xy? = 1 prove that = -at (1,-1)

A: Please see the answer below.

Q: 3. Show that the equation (x²y)dx + () dy = 0 is exact and then solve it.

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Q: 2xdy + y(2 + xy²)dx = 0 %3D 1 when x = 1 & y= 2

A: Given equation is 2xdy+y(2+xy2)dx=0 and y(1)=1/2

Q: Solve for the general solution * (eУ — усos ху) dx + (2xe-У — х соs ху +2у) dy %3D0

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Q: 4. Using homogenous D.E approach, solve (x³ – Зху?)dx %3D (у3 — 3x2у)dy. (v³ – 3x²y)dy. | 2 (ardai…

A: The given differential equation is; (x3-3xy2)dx=(y3-3x2y)dy.

Q: (4x*y³ + }) dx + (3x*y² –-;) dy = 0 for x(e) = 1 %3D

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Q: Given x²y3 = In(xy) Show (using complete solution) if the equality below holds dx (x\(3x²y3 – 1\ dy…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to x

Q: (1+ In xy) dx + (-)dy = 0

A: See the attachment

Q: 3. y'(x'y-2)dx+x(x*y' + 2y° - x)dy = 0 : y(1) = 1

A: We have to find the particular solution.

Q: e general solution to the DE  is(6x+y2)dx+y(2x-3y)dy

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Q: dy If ey dx 3x2 and y (1) = 2, then the particular solution y (x) is, O y = ln(x³) + 2 O y = x³ + e²…

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Q: dy dy dx dx 3.3

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Q: b) Find the general solution of (3sin y– 5x)dx+2x² cot ydy = 0

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Q: What is the general solution of e3x dx? J (1 – 2e3= )2

A: Use substitution t=1-2e^(3x)

Q: Solve the DE by Bernoulli's Equation 3 1.6 y² dx - x (2 x³+ y) dy = 0

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Q: Find the general solution of the ODE. d'y dy +3. dx² dx Stre

A: Given d2ydx2+3dydx=5x+xex

Q: dy Use first approximate Picard's method to solve- dx +3y, y(0)=2. .a +6x+ 2 2 .b None of these .c +…

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

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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 general solution of D.E. below: (x-2y) dx + (2x+y) dy = 0

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