What is the general solution of =? %3D dx y2+1 What is the general solution of (y + 1) = 2x? %3D What is the particular solution of dx given that y = 3 when x = 0?

Q: Obtain the general solution using separation of variables ye 2x dx = (4 + e2x)dy

A: The given differential equation is y e2x dx=4+e2xdy Solving the differential equation by converting…

Q: d) sin (x)e3*+ dx dx

A: The given integral is definite integral because limits are given.  So integration value will be a…

Q: What is the general solution of xy(xy5-1)dx + x²(1+xy5)dy=0 ?

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Q: 2- e dx 十e X X e dx 2.

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Q: L, x*e*** dx 3+1

A: 3.1) ∫-12x2e(x3+1)dx Let u=x3+1 du=3x2dx

Q: Find the general solution for (3/y-6/x)dx - (3x/y^2 - 7/y)dy

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Q: If x^3+y^3=2, find the value of d^2y/dx^2 at the point (1,1). the value of d^2y/dx^2 at the point…

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Q: What is ∫3x(x2+2)5 dx? Do not include the constant "+C" in your answer. For example, if you found…

A: Given integral ,    ∫3x x2+25 dx        Let , x2+2=z=3∫ x2+25.dx            ⇒2x dx=dz=3∫z5.dz2…

Q: e そo 3/2 S-スス)ん dx (4x²+1)-

A: We have to find the value of the integral  ∫(1-x2)3/2x6dx Note- since you have posted multiple…

Q: dx ex -1

A: Let ex=t ⇒exdx=dt    dx=dtex          =dtt

Q: 5 6 7 | || ? +y² +²) dx dy e -5 0 0

A: Given: ∫-55∫06∫07x2+y2+z2dxdydz

Q: Solve for the general solution (4ху +3у — х) dx +x (x+2у) dy %3D 0

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Q: Solve D-E 4/xy dx + (x²+1) dy = 0

A: Given :4xy2dx+x2+1dy=0

Q: Solve bernoulli equation (dy)/(dx) - y = x * y ^ 2

A: Given problem:- Solve bernoulli equation (dy)/(dx) - y = xy2

Q: General solution for xy dx + (2x2 + 3y2 - 20) dy = 0

A: General solution for xy dx + (2x2 + 3y2 - 20) dy = 0

Q: Solve linear diff eq dy/dx = e^(-x) -4y ; y(0)=-10

A: Given is the equation dydx=e-x-4y with the initial condition y(0)=-10. The objective is to solve…

Q: (y-sinx) 3. Solve the D.E. dy + dx = 0.

A: We can solve the given differential using integrating factor.

Q: Calculate dy/dx. You need not expand your answer. y =x2.3/9+2/x2.3)(9x − 1) Answer ----->dy/dx:…

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Q: 6. Solve (2xy*e" + 2xy³ + y)dx + (x²y*ev – x?y² – 3x)dy = 0. -

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: FIND THE GENERAL SOLUTION ye^2x dx = (4+e^2x)dy

A: Let's find.

Q: Find the formula for df-1 /dx. f(x) = (1 – x)3 1 O A. 3x2/3 О В. 1-х1/3 Ос. -3(1- х)?

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Q: y3 (3- e*)* dy dx

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Q: 12] (1+e* 1-ex S dx 3x2+14x+13 (3] S dx

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Q: Find the General Solution: (1+y/x+lnx)+(lnx-1)dy/dx=0

A: Write the differential equation in the form:

Q: 4x − 5y + 3)dx − (2x − 3y − 1)dy = 0 how solve this problem?

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Q: 4- S" e-x* dx 5- Vy e-y² dy

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Q: dy 1. Solve 2y - e dx

A: Given differential equation is dydx=2y-e3x. To find the solution. Solution: Given differential…

Q: 1. Ò 4e" dx 2. e** dx 3. 0 –dx 4. Òdx 7x 5. Ò (-4)e*dx

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Q: 2 What is wrong with the equation dx =

A: Use the formula ∫xndx=xn+1n+1, to evaluate the indefinite integral ∫4x3dx.…

Q: dx 3. S ex+ e-*

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Q: dy/dx = 2x3,    y(0) = 3 y =

A: Given Data:   Solve the differential equation,

Q: solve 2 x d zy dx=

A: Given: The second order differential equation is x2d2ydx2+4xdydx+2+xy=0

Q: Find solution of y – x X- dx dx

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Q: olve tho) Solve through reduction to exact equations (x-y-1) dx + (4y +x-1) dy

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Q: By using appropiate substitution, solve dy hpT i. x2 dx 1 = xy – y² ii. – 2. (2х + у)е2»+у | dx

A: Consider the provided question, (b) (i)

Q: Solve: (e-y + 1)-2e*dx + (e-* +1)-?e"dy = 0 %3D

A: The exponential rule of integration states that ∫exdx=ex+c  and ∫e-xdx=-e-x+c.

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

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Q: [4] s **-2x³-2x x²+1 [4] S² > [5] S dx dx ex-1

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Q: 1. S(Hx@ - 2x) dx 2.s (x" - 3X?) dx 3. S( 5xV - xo t 4x - 2) dx 4. GRND 5. dx

A: Find your answer below

Q: dy 1. Determine the general solution of x = 2 – 4x3 dx

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: -2 3. Integrate: [8x°e"-2 dx = du - e* 4x°dx 2 du = dex?. 4x° dx 4 3 2ou 8 ex".x°dx

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Q: 1- [(2x – 5)/3x – 1) dx | 2- S S(x3 – 10 + 3y² dy dx

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Q: what is the general equation to the equation dy dx 2 2 dx²

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Q: 1. Find the general solution of 3 + = y*(2x*) dx

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: find the general solution for: x^2*d^2y/dx^2 + x*dy/dx -y=0

A: SolutionGiven    x2d2ydx2+ xdydx - y = 0Gind the general solution of the given differential equation…

Q: 1. What is wrong with the equation dx -1 23

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find the general solution, using separation of variables: dy dx

A: The given differential equation is  dydx=e-y-x

Q: - dx 2. S e* + e*

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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.