dx 2. = 3x. dt

Q: (d)Find | x?Vx +3 dx (e)Find S- dx 1+e2x

A: we use integration by substitution method

Q: 8. Calculate "e+y\dx dy -00 -00

A:

Q: Solve each problem with complete and neat solution dy 1. dx +y = e2x 2. (x + 3y)dx – xdy = 0

A:

Q: dx dx Solve the equation +3 + 2x = e' given that x (0) = 0, x' (0) = dt

A:

Q: Soluce for dy dx Tn x +Vx y=.

A: we can find the differential using division rules as below

Q: Find the particular solution of y (1+2 In?2) dx + xdy = 0 y(e) = e.

A:

Q: Identify the type of the equation dy dx and solve it.

A: Solution

Q: = (x²ye 3xy²) dy dx

A: dx = x2yey3 - 3xy2 dy

Q: e 2x dx 4e2 – 8e + 5

A: We have to find anti derivative of given expression.

Q: Find dy/dx. X = x = t?, y = 8 – 2t dy dx

A: givenx=t2   and y=8-2tdydt=-2dxdt=2t

Q: x*+e*)dx -In

A: Given: I=∫x-1+exex-ln1xdx So, simply we can write as; I=∫x-1+exex-ln1xdx=∫x-1+exex-ln1-lnxdx…

Q: J 3X+ 9 e dx

A: We will integrate the following expression using Substitution and integration by parts.

Q: solve the given DE x dy= y (ln x - ln y) dx

A:

Q: Simplify the expression shown.

A: Given:

Q: Solve the linear D.E dy + y=x dx Paragraph

A:

Q: S(8x3 + x-3)dx

A: Solve by integration

Q: 1) S , (x + y) dx dy

A:

Q: 18 Find J4 dx.

A:

Q: dy 9. = 2+ e dt

A:

Q: e*dx 19) J+ ex + e2x

A: See the details solution in below

Q: S* (1– x)e* dx

A: To find out the integration.

Q: 1. S, xe*dx

A: topic - definite integral  note : As per bartleby guidelines, we are supposed to answer only first…

Q: (х — 3)dx J («+2)(х + 1)?

A:

Q: dy х3 + ху? dx 12 ||

A:

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

A: Let's find.

Q: 3 e (e) (x +4) dxdy..

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Find the values of d/dx (11) and d/dx(π)

A: Consider the provided information, ddx11   and   ddxπ. Find the values of the derivative. The…

Q: 2. ye* dx + e*dy = 0

A:

Q: dy 3. dx

A:

Q: Solve by finding an integrating factor (xy² + y)dx – xdy = 0

A: xy2+ydx-x dy=0

Q: dx 3. S ex+ e-*

A:

Q: J 6x x +3 dx

A:

Q: Solve dy / dx = 1 /( x^2 – 1) , for y(0)

A: Given,                        dydx=1x2-1;         y(0)=0

Q: d {e® + e=®} dx Find

A:

Q: dx + 3t?x = x?t et3 solve by Bernoulli's dt Equation

A:

Q: dy 4. y = e*y? dx

A: Solution 4: Given differential equation is dydx-y=exy2 We can write it as 1y2dydx-1y=ex         (1)

Q: dx dy 1 (a)

A: This is a problem of partial differentiation and Implicit function theorem.

Q: | (3e* + 1)? e* dx

A: Given integral, ∫3ex+12ex dx

Q: dx ex+e-x 2. S dx

A:

Q: 2r – 1 dr = ar" + dx" +C.

A: Integrate the function using basic method. Keep the function in power term. And then compare.

Q: dy Solve dx x+ y and find the particular solution when y(1) = 1

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Integrate dx/a^2+(x+b)^2

A: Take the substitution that x+b=t.

Q: .2 dt t2 + 1 dx

A:

Q: dy Find the general solution of (x? + 4) ху- dx

A: Good Morning, This is the problem of Differential equation that can be solved by seperation of…

Q: Jar*dx = (1 +x*)y*dy

A: Follow next step

Q: С (4 — х — 2у) dx dy

A:

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

A:

Q: Simplify the expression shown.

A: Leibnitz Rule ddx∫g(x)h(x)f(t)dt  =  f(h(x)) d(h(x))dx - f(g(x))d(g(x))dx

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.