By using method of elimination find x(1)+ y(1)=? for given: dx = 3x – y dt x(0)=1 & Recommended time is 10 minutes dy = 5x – 3y dt y(0)=-1

Q: an integrating factor for the DE dy+ydx=e3x dx is  1)ex 2)x2 3)y 4)x 5)ey

A: To find an integrating factor for the DE dy+ydx=e3x dx

Q: dx xt x(1) = 2, solve for x(2) when h = 0.1 %| dt t²+2

A: As per the question we have to solve the following first order differential equation : dy/dx =…

Q: 1. 2ydx + x (²+x²y) dy = 0

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Q: Approximate the value of y2(2) using the method of successive approximation for the given…

A: Consider a first order differential equation dydx=fx,y with the initial condition yx0=y0. To obtain…

Q: Find the particular solution, Using the integrating factor method: dy + In x =- dx y where y(1) =3.

A: Solution: The objective is to find the particular solution to the given differential equation.

Q: Reducible to Exact (2xy ln y)dx+(x2+y2√y2+1)dy=0 Have to be convert to exact by integration method

A: Given  Differntial equation (2xy ln y)dx+(x2+y2√y2+1)dy=0

Q: e particular solution of the differential uation x^2 dx - (y+1) dy 0 if y(0)=1 2y^2+3y-6x^3+6= 0…

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Q: The integrating factor of non-exact differential equation (æ³y³ – x®)dx – (y6 – x³y)dy= 0 1 xty3 +…

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Q: dg dx =g (4-8)4=x* 2.

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Q: Find the solution to the initial value problems using integration. dH/dx=3x, H(0)=1…

A: Consider first problem:

Q: dy/dx − x^3 = 0 where y(0) = 5

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Q: Find the particular solution, Using the integrating factor method: dy + In x =-y where y(1) = 3. dx

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Q: Solve the given initial-value problem by finding an appropriate integrating factor (x + y - 5) dx =…

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Q: Find a set of solution. Integrating factors found by inspection.   y(x2 + xy2 - 1) dx + x (x2 + y2…

A: Given the differential equation y(x2 + xy2 - 1) dx + x (x2 + y2 +1) dy =0. We need to find the set…

Q: y(x²y² – 1)dx + x(x²y² + 1)dy = 0

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Q: 1. Use the Improved Euler's method to integrate dx = t - sinx dt given x(0) = 1, using a step size…

A: The given differential equation is dxdt=t-sin(x), x(0)=1, h=0.1 The formula for improved Euler…

Q: Q6. Using Rule l-IV to find an integrating factors. (x² + y² + x)dx + xydy = 0.

A: Given- x2+y2+xdx+xydy=0 To Find- The integrating factor of the above differential equation.

Q: Find the particular solution by means of integration factor method if: (x* +1) +3x(y-1)=0 where y(1)…

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Q: dx 1. dt xt x(0) = 1, solve for x(0.3) when h = 0.1 I| -

A: Given function is, dxdt=-12xt,   x(0)=1, h=0.1 and we need to solve, x(0.3)   Here we have, (t0,…

Q: Consider the equation ¨x = ax. If a = 0, than the solution of this equation is x(t) = C + Dt where C…

A: Consider the equation x''=ax. The solution of this equation is x=C+Dt+ax22

Q: What is the integrating factor of y (x² + y) dx + x (x2 - 2y) dy = 0? -1

A: We will find out the required integrating factor.

Q: (t + z cos(t)) dt + (sin(t) – 3z2 + 5) dz = 0

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Q: 3. Find the solution of xydx – (x²+2y²)dy = 0. Use Determination of Integrating Factors.

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Q: - (v + x³ + xy®)dx – xdy = 0.

A: To solve the given differential equation.

Q: dx +4x = 2e 3 , x(0)= 5 dt (d) dx +4x = sin 2t , x(0)= 0 dt (e)

A: Laplace transferom, solve the differential equation by using Laplace transferom

Q: Make the Nonexact differential equation xy dx + (3y2 + 2x2 – 20) dy = 0 to an exact differential…

A: The solution is given as

Q: Is 1(y^2) is the integrating factor of the non-exact DE[(y^2)-y]dx+xdy=0, show your solution.

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: Use Euler's method to calculate the first three approximations to the given initial value problem…

A: For the solution of the problem follow the next steps.

Q: Find the integrating factor: x^2 dy+(2x^3 y-e^x )dx=0

A: First order linear differential equation of the form dydx+P(x)y=Q(x) Integrating Factor:…

Q: Determine the integrating factor for the differential equation y dx - x dy = 0. А. 1/х3 В. —2/x2 С.…

A: follow next step

Q: Use separation of variables to find the solution to the differential dy y²(4 + t), if y = 2 when t =…

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Q: Solve for the integrating factor y (x + y) dx + (x + 2y – 1) dy = 0 Option 1 Option 2 et Option 3…

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Q: The expression Tyi is an integrating factor for x²y³dx +x(1+ y²)dy = 0. 2xy³

A: x2y3dx+x1+y2dy=0                      (1) If 12xy3 is an integrating factor then multiplying it with…

Q: 1. y(4x + y)dx – 2(x² – y)dy = 0

A: We will first convert the equation to exact and then solve

Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.…

A: Differential equations

Q: dx = x- y + 1 dt dy = y - x + 2 dt

A: Given: dxdt=x-y+1                       1dydt=y-x+2                       2 The above system of…

Q: The time rate of change of liquid circulating in two tanks is govemed by dy -0.02x + 0.02y, = 0.02x…

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Q: Use a technique of integration or a substitution to find an explicit solution of the given…

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Q: If the integrating factor of the differential equation dy + py = q is sec³ x ,then the value of the…

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Q: Q3)-(A) Solve the following simultaneous equations: dx 4t +x-y= cos(5) dt Int dx t -x +t == Int dt…

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Q: The general solution for the flowing differential cquation is * (3x+ycosx) dx +(sinx-4y )dy =0

A: We will split the equation into separate differential forms and then integrate accordingly to get…

Q: A point is moving along the graph of the function y=1/8x^2 +3 such that dx/dt = 3 cm/sec. Find dy/dt…

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

Q: Find the general solution using Integrating Factors Found by Inspection y(x^2 y^2 – 1)dx+ x(x^2 y^2…

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Q: Use Euler's method to numerically integrate dy -2x3 + 12x2 – 20x + 8.5 %3D dx from x = 0 to x = 0.5…

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Q: So Sty dx dy √y(1+x²) The value of integration is very high

A: Given ∫01∫y1dxdyy(1+x2)

Q: A. Integration By Parts 1. ſx5Vx3 + 1 dx 2. S/* x sin 2x dx 3. S- x³ex? -dx (x2+1)2

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Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.…

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Q: Pydx + x(2 + x²y) dy = 0

A: Topic:- differential equations

Q: d²x + 16x = 1 + 2 sin 4t dt2 dx (0) = 0 x(0) = 0, %3D dt

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Q: (2x² + y)dx + (x² – x)dy = 0

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.