What is the order of the differential equation d²s ds + s = dt = 4t3 – 24? dt2

Q: xy dx + (1+ x²) dy = 0 ху

A: We have to solve

Q: Use integration to find the general solution to the differential equation: dx %3D y – 4

A: Given,         The differential equation is dydx=x-2y-4 .

Q: Find the solution to the differential equation dz 3te7 dt

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Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?

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Q: What is the differential equation for the population P(t) of the country when individuals are…

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Q: Find the general solution of the second order differential equation below: dx d) dt2 + 6x = 0 dt

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Q: From the differential equations provided, identify the pure time differential equation and the…

A: To identify the pure time differential equation and the differential equation autonomous. y'=y2−y4…

Q: By separating variables, find the general solution of the differential equation dvc = - dt RC' where…

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Q: (3ху2 — у?)dx + (2х?у - 2у)dy - 0

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Q: du 1 + tª dt ut² + u*t² 4,2

A: Let us consider the differential equation dydx=f(x)g(y) To solve the equation using the variable…

Q: What is the standard form of this linear differential equation in one variable. Y + 1)dx + (4x – y)…

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Q: Find the solution to the differential equation dz 4te dt 3 that passes through the origin.

A: GIVEN: dzdt = 4te3z

Q: Find the general solution of the ordinary differential equation: r²y" – ry + y %3D

A: The differential equation is given as x2y''-xy'+y=2x                         (1) It is a Cauchy…

Q: Find the solution to the differential equation dz/dt=7te^(5z) that passes through the origin.

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Q: ex 2. y" — 2у' + у %3 1+ x2

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Q: Verify that y(x)=exsinx is a solution to the differential equation   2ycotx-d2y/dx2=0

A: Consider the given solution to the D.E. Differentiate it w.r.t x twice to get the double derivative…

Q: What is the particular solution to the 2² +3 with the differential equation dy da 3y initial…

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Q: What is the linear differential equation of dy/dx+2xy+xy^4=0 using dv/dx?

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Q: Find the general solution of the differential equation: dx/dt = 5x - 3. (1/5)[In(5x + 3)]= t + c O…

A: Given that: dxdt=5x-3

Q: Write an equivalent first-order differential equationand initial condition for y

A: We have to write an equivalent first-order differential equation and initial condition for y…

Q: Find the general solution of the second order differential equation dy dy 10 +24y 0 dar dr?

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Q: Which óf thé fóllówing directión fiéld will represent the differential equation y' = y + 1 Option 1…

A: Direction field: A graphical representation of solutions of a first order differential equation is…

Q: What is the linear differential equation of the bernoulli’s equation dy/dx-y[1/(2x)]-y^5=0?

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Q: Use bernoullis equation to determine the general solution to the differential equation (y^2-y)dx +…

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Q: 2wt dt/dw = t2 - 2w3

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variables x for w…

Q: 2t°y'+3ty-y=! t.

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Q: What is the auxiliary equation associated with the second order linear differential equationd^2x…

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Q: 4. Form the first-order differential equation of y = e(sin y + r) %3D

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Q: y(4x + y) dx - 2(x² - y) dy = 0

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Q: e"(dr+3rde)=0

A: To solve the given differential equations.  e3θ(dr + 3rdθ) = 0.

Q: ds What is the general solution to the differential equation 2 = 5t's³? %3D dt

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Q: What is the solution of the differential equation of (2x° + ry? + 2y +3) dr + (x²y + 2x) dy = 0 ?

A: We have given differential equation,   Differential equation is of the form,     Mdx +Ndy=0 Firstly…

Q: The degree and order of the differential equation 1+ is = dy dz о 12, 1 O 1, 15 O 15, 1 O 3, 1

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Q: What is the integrating factor of the differential equation (5xy + 4y² + 1) dx + (x² + 2xy) dy = 0?…

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Q: ylv – y" = 4x + 2xe-*

A: the

Q: Identify the order and degree of the differential equation: 1+ dx O a. 2nd order, Ist degree O b.…

A: We have to find out the degree and order of the given differential equation

Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?…

A: This is Separable differential equation

Q: Find the general solution of the differential equation or state that the differential equation is…

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Q: 4te dt TOT

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Q: dy +2xy = e-* is The integrating factor of the differential equation

A: By using linear differential equations integrating factory  we can calculate..

Q: To solve the differential equation 3+ ty = sint, y(0) =5 by the 4th order dt Runge-Kutta method, you…

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Q: The complementary solution for following differential equation d3x + 5 d2x +26 dt2 dx dt3 150х 600t…

A: In the question it is asked to calculate the complementary solution of the function given below.…

Q: Find the particular solution of the differential equation (1-cos(2t))dy/dt=xsin(2t) given that…

A: The given differential equation is 1-cos2t dxdt=x sin2t     with xπ2=2. Solve as follows. 1-cos2t…

Q: What is the integrating factor for the linear differential equation xy' – 2y = x?

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Q: What is the particular solution of the differential equation y" + 2y" – 5y' – 6y = 5e?? Particular…

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Q: Find the solution to the differential equation dz 3te3z dt %3D

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Q: Find the solution to the differential equation  dz/dt=7tez that passes through the origin. z=?

A: We have to find the solutions

Q: What are two linearly independentsolutions of the differential equation y''-5y'-6y=0

A: We have to find linearly independent solutions of the given differential equation.

Q: xydx + 2(x2 +2y)dy=D0; when x= 0, y= 1

A:

Q: To solve the differential equation 3 + ty = sint, y(0) =5 by the 4th order dt %3D Runge-Kutta…

A: standard form for Runge-Kutta method for solving first order differential equation is: dydx = f(t,…

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.