Solve the given symbolic initial value problem. y''-y'-6y=5*δ(t−1)+e^(2t)​      y(0)=0.     y'(0)=5

Q: tx' 3 - - (³ 4) X X = C1 (1) +02 10 + ()

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Q: B. Solve x' = 01 1 54 x + 12e4t 18e4t

A:

Q: 6. If g(x) = x'+x²+ g"(2). find the value of

A: see 2nd step.

Q: Find y'. In(5x) y = 4x y' =

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Q: D. Exponential shipting Theorem (D°+ 10* - 30 - 18) y = 24 x ° e-s* -3x 4.

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Q: Solve the ODE  y'+(1/x)y-ex=0, when x>0

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Q: Use separation of variables to solved = e* (1 - y)², given y(0) = 0 Oy=-(e² - 1) + Oy=1-e-* Oy =…

A: Given differential equation dydx = ex( 1 - y )2 y( 0 ) = 0

Q: y = 5** +(3–x²)

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Q: 5. If y=5x²-3x + 10, give y'(-1)

A: We have to find the y'(-1).

Q: y = In (x+ v5² +1) 3. Solve the y'" if x = 0.5 using step size of 0.1

A: We approximate the second order derivative using second order central difference approximation.!

Q: 4) Solve (xe + ye" )dx+(xe" +e' )dy = 0

A: The differential equation is xe-y+ye-ydx+xe-y+eydy=0 Write it as: e-yx+ydx+x+e2ydy=0x+ydx+x+e2ydy=0…

Q: Find y'' in y = (1 + 1/x)3

A: We first expand the given expression first.

Q: f (x) You are given h(x) = f(g(x)); p(x) = f(x)·g(x); q(x) = g(x) and the following values f(2) = 1,…

A: Given : hx = fgxpx = fx·gxqx = fxgx

Q: The total number of reported cases of an illness in a large city tt days after the start of an…

A: Given the logistic differential equation is: y'=15600y1400-y…1 The standard form of a logistic…

Q: 5b. Find y' when =etet ey

A: The equation is given by y = e2+ex2+ey2…

Q: If x' x= [(-₁)] and x(0) = [] x what is X(T)?

A: Given: x'=01-10x and x(0)=01. To find: x(π)

Q: 3. Find all of the equation. (а) у —х (c) y' = x Inx (e) y" = 2xe*

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: 3. Solve e*³ (3x

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Q: If Ax) = 2x+ 1and g(x) = x, Find g0)) %3D

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Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Q: Find y'. In(5x) y = 7x

A: SOME RESULTS:     IF y= f(u) and u=g(x) then,  dydx=dydududx.      ddxuv=vdudx-udvdxv2,v is non…

Q: Find y' y= y" = 3x + 4 2x-3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solve u(x)=(x-1)e*+4 e (*+t) u(t)dt

A: This question is related to definite integeration. We will solve it using basic definite…

Q: y'-2 xy=2 y (0)=1

A:

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.