d (g) d.x -t2 dt e

Q: dx dt x = ثر - |

A: A differential equation is said to be a homogeneous differential equation if we can write it in the…

Q: x2y3-y=x+x2 find dy/dt

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Q: d_(F(x*)) d dt dx dx 16

A: To find- solve the given equation.

Q: dx = x(x – 1)(x + 1) dt has a solution that is (Select the correct answer)

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Q: dx + 3x = e dt -2t

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Q: d (F(x*) dt dx dx

A: Explanation of the answer is as follows

Q: Solve the linear D.E dy = (e-X sec2x - y)dx

A: Given: dy=e-xsec2x-ydx ⇒dydx=e-xsec2x-y⇒dydx+y=e-xsec2x which is linear differential equation of the…

Q: -t,x-1 dt

A: Please see the explanation below

Q: 2y dy y + e

A: ∫e2y7+eydysubstitude u=7+ey→dudy=eydy=e-ydue2y=(u-7 )2 ⇒∫(u-7 )2udu⇒∫(1-7u)du⇒u-7ln(u)put…

Q: ((t + 1)e2t dt

A: To evaluate:∫t+1e2tdt

Q: d²y dy y = e * is a solution of dx2 = 0 dx

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Q: g(t) = f(2t) d dt

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Q: dx :- x = ey/2 x3 dy 1- 2

A: First we need to reduce it into linear differential equation form by using substitution method

Q: 3. fy dy + 10g = e + dt +7 -2t

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Q: 3x 9. Find *(t² - t) dt. d dx '3

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Q: dy 9. = 2+ e dt

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Q: dy 5. dt = e&-t)secy(1+ t²). %3D

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Q: dy =y -y-20 dt

A: We draw the image then classify the image.

Q: d • x3 dx. sec*t dt

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Q: Solve the D.E x dy+ (2y-x-11dメ-0 (24-X-1)dxメ= 0 %3D

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Q: e-(2²+y²) dy dx x=-00 Jy=0

A: To evaluate the below integral. ∫x=−∞∞∫y=0∞e−x2+y2dydx

Q: 1² + 3x + 4 If t = (r² – 1) what is dt/dx?

A: We have to find derivative

Q: Find the particular solution of the linear equation dy/dx+y/x= x if y(1) = 0.

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Q: D. Compute in terms of x and y. dx

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Q: Q/ Solve the D.E.: d'y dy 2 + 2 - y = 0 dt2 dt

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Q: d d :(F(x³)) dx dt dx 14 ...

A: First use libnitz rule to evaluate the integral. ∫14x3e-t2dt=e-x6.(3x2)-e-(14)2.0+∫14x20dt…

Q: d d (F(x³)) dx dt dx 14 ..

A: (1).   The given expression is: ddxFx3=ddx∫14x3 e-t2 dt

Q: (2t – 3)·e -t²+3t dt 3 2/Inx dx . X (2у-3)12

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Q: d³x dx 19- + 30 = 0 dt dt3

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Q: find ds/dt. s = t2 - sec t + 5et

A: Given: The function is,

Q: dy 2 + y = 0, y(0) = -3 dt

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3 d²y If the functions are x = e-t and y = t+t + 1. Determine its dx2

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Q: B dy x/1-y2 dx 1+x2 II

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Q: Evaluate

A: Using fundamental theorem of calculus, to find the derivative of definite integral, one need to plug…

Q: نقطة واحدة *Q33 Then x+y = x+ y = ,"; dt If was

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: d. Evaluate dx dt (t2 +2t) -1

A: We use the Leibnitz rule of differentiation under integral sign to solve the given problem.

Q: d ef dt (F(=") = %3D dz dz 13

A: We have to find

Q: d X 4 dt -x 1+t? dx

A:

Q: (d) S 2e-2# dx 4x (e) J1dr -dx (f) S(2ax + b)(ax² + bx)"dx

A: Use the formulas below to evaluate the integrals. ∫eaxdx=eaxa+C∫xndx=xn+1n+1+C∫dxx=lnx+C

Q: d 23 dx x2 (1+t²)* dt

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Q: Solve : (x-ay)dx = (ax – y )dy

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Q: (d) y = x* (e) y = In(e2r + e-2#) (f) f(r) = e-

A: See solution below

Q: The value of C in the equation: dV/dt= -500(t+1)^-2, when V=700 and t=0 is?

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Q: Cosx d (t2 - t) dt dx 1.

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Q: dy e'(y – 1)² dt

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Q: .2 dt t2 + 1 dx

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Q: ∫(e^y dy)/(e^y-1)

A: Given, ∫eydyey-1