Solve the initial value problem y(t) = Submit Question dy Y dt t+1 = + 4t² + 4t, y(1) = 8

Q: Solve the following initial value problem: (2x + 4y)dx + (y – x)dy = 0, y(1) = 0.

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

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Q: 5 8 (OT-7) dt ||

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Q: Find the indefinite integral. (Use C for the constant of integration.) 9 Z₁ Z√ 492²-64 2 tan S 2 -1…

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Q: 5. Solve (t³ +7t³x²)dt + xe dx =0 with x(0) = 0. Leave in implicit form

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Q: the st sub: Z = the + 4x = x²(4t + 3), x(1) = 4.

A: Given differential equationAssume

Q: 2. で-5e dt = 4.

A: ∫xndx = xn+1n+1

Q: 6. S t √1+2t dt

A: The given integral,    ∫t1+2t4dt

Q: Solve 4 x*dy +y*dx = 0

A: The given differential equation is: x4dy+y4dx=0x4dy=-y4dxdyy4=-dxx4

Q: 3. Given the following graph and A(x)= [f(t) dt, find: A(4)= 4 y=f(t) 3 A(6) = 1- A(10)= A'(x)= -2

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Q: Solve the initial value problem: (3x + 8)(y² + 4)dx – 4y(x² + 5x + 6)dy = 0, y(1) = 2

A: A differential equation is said to be in separable form if it can be written in the form . Such a…

Q: (1 point) Solve the following initial value problem: d 5 18e³t 12 1/² = (₁-3)* + (1960) 67²), 7(0) =…

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Q: 2. Solve the initial value-problem: . dY dt Y with Y(0) = (1,0). - 4

A: The solution is given as

Q: (1 point) Solve the following initial value problem: dy + 3y = 3t dt %3D with y(1) = 3. (Find y as a…

A: To solve the following initial value problem

Q: find dy/dt Y= (1+cos4t)^5

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Q: Write the equation „dr te +x dt dr in the form of +p(t)x=q(t). Then identify p(t) and q(t). dt…

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Q: 7. Solve the initial value problem: dy + y = 0, y(7/3) = 0, y'(T/3) = 2 d02

A: Given the differential equation is d2ydθ2+y=0, yπ3=0, y'π3=2

Q: ==== 3y' - y + 6ety3/2 = 0, y(0) = 1/4.

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Q: Solve the initial value problem x2(dy/dx)=(3x2-x-5)/(x+1)(y+1), y(1)=2

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Q: Solve the IVP dx 2 dt x(0) = 5 -21 ₁ 2 [] 6 Give your solution in real form. x1 = X2

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Q: Find the solution to the initial-value problem dy dx 3xy(3+y), y(0) = 10 у),

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Q: Solve dy/dx−6y=3 subject to y(2)=2

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Q: Solve y² dt+ (2yt + 1) dy = 0

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Q: Solve the initial value problem (tan(3y)-7)dx+(3xsec2(3y)+(1/y))dy=0, y(0)=1

A: We have to solve the given differential equation.

Q: Find the particular solution for each initial value problem.

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Q: 5 +4y = 2 y(0)=1 dt

A: Given problem is:

Q: Solve the initial value problem (dy/dx)=x3(y-3), y(0)=6

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