Solve the following initial value problem: dy + y = 49t dt with y(0) = 6. (Find y as a function of t.) y =

Q: Find the particular solution of the differential equation that satisfies the initial conditions.

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy 7xe',…

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Q: Find the particular solution of the differential equation that satisfies the initial conditions.

A: The given differential equation is in variable separable form. Hence, an be solved using simple…

Q: Solve the follow ing initial value problem: 3x(t2- 1)dt+ (t³ + 8x- 3t)dx= 0, t(0)= 1

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).

A: Given: f'(x)=6x f(0)=8 Integrate the equation. ∫f'(x)=∫6xf(x)=6x22+Cf(x)=3x2+C

Q: Hi, can I get help with this problem? Thank you! 4.1

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Q: Solve the following initial value problem: dy + 0.4ty = 3t dt with y(0) = 5. y =

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Q: Find the solution to the differential equation dy = 3(6+t), dt y = 6 when t = 1.

A: we have to solve differential equation

Q: Solve the following initial value problem, dy ry +x dx y(2) = 0,

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Q: Solve for the initial-value problem. d?y - 4y = 2u(t), y(0) = 1, y'(0) = -2 - dt2

A: We will find out the required solution.

Q: solve the Initial Value Problem. dy/dt= ye−t , y(0) = 1

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

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Q: Solve the following initial value problem: y(t) = = dy dt +0.9ty = 6t, y(0) = 1

A: Given: dydt+0.9ty=6t,      y0=1

Q: Solve the initial-value problems dy y(1) = 2 dx dy = cos t + 1, dt 2

A: To solve the given initial value problems

Q: Find the function y = y(x) which satisfies the separable differential equation dy/dx = 8+11x/(xy^2)…

A: Given differential equation is dydx=8+11xxy2y2dy=8+11xxdx Integrate both sides.…

Q: Solve the initial value problem. dy + 3y – e -* = 0, y(0) = dx 2

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Q: Solve the following initial value problem: (t^2−16t+60)dy/dt=y with y(8)=1. (Find y as a function…

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Q: Solve the differential equation dY AY dt for (; 1). vm - () 3 Y(0) = A =

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Q: Solve the following initial value problem: dy dt - 3y + 21 y (0) = 10 y(t) =

A: The general solution of a differential equation always contains a constant of integration. The…

Q: y(x + y+ 1)dæ = –(x+ 2y)dy,

A: To solve the below initial value problem. yx+y+1dx=−x+2ydy,   y0=1

Q: Solve the initial value problem dz/dt=cost−2sint, z(0)=5.

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Q: Solve the following initial value problem: dy + (0.9)ty = 5t dt with y(0) = 8. (Find y as a function…

A: Re-arrange the differential equation.

Q: Solve the following initial-value problem: 3y² - t² dy t = 0; y(1) = 1 2yA dt

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Q: Solve the following Initial Value problem in the form y = f(t) (dy/dt) = -2y + t^2, y(0)=1

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Q: Solve the initial value problem dy/dt+ xy = x, y(0) = -6

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Q: Solve the initial value problem.

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Q: Solve the following initial value problem. = - 4cos(2t + x), s'(0) = 300, s(0) = 0 dt? (Type an…

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Q: Solve the initial value problem. Express y explicitly in terms of t. dy t = dt y (1 + f²) y(1) = -2

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Q: Solve the initial-value problem dy/dx+(3/x)y=x^2+x, y(1)=4

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Q: Solve the following Initial Value Problem. (exy+1)dx+(ex-1)dy=0    ,     y(1)=1

A: Solve the following Initial Value Problem. (exy+1)dx+(ex-1)dy=0    ,     y(1)=1

Q: Find C,and C2 to solve for the initial conditions x(0) = 10 and dt (0) = 0

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Q: Find the function that solves the initial value problem dy 10x + 3, y(1) = 0. dx y(x)

A: According to question,Given differential equation,dydx = -10x+3,y1 = 0

Q: Find the solution of the differential equation that satisfies the given initial condition. dP 5V Pt,…

A: Given query is to solve the initial condition differential equation.

Q: Find the function y(t) that satisfies the differential equation dy dt and the condition y(0) = 2.…

A: Let us consider the given function dydt+P(x)y=Q(x). To solve the equation using integrating factor…

Q: Solve the following initial value problem. = 0, y'(0) = 4, y(0) = 1 dx?

A: Consider the Initial value problem d2ydx2=0                          y'(0)=4,y(0)=1

Q: Solve the following initial value problem: y2t (dy/dt) - t + 1 = 0 ; y(1) = 3

A: Given: -

Q: Solve the following initial value problem: 3y? - t? dy 0, y(1) = 3. 2y4 dt y(t)=

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Q: Solve the initial value problems dy/dt = 8/1 + t2 + sec2 t, y(0) = 1

A: To Determine: Solve the initial value problems Given: we have…

Q: Solve the following Initial Value Problem. dy/dt=sec^2(t)-sin(t), y(pi/4)=1 y=??????????????????

A: Given that: dydt=sec2t-sint, yπ4=1

Q: Solve the initial value problem dy - y = 2e' + 8e5t dt with y(0) 10.

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Q: 4. Solve the following initial value problems. dz (a) dt cost z(0) = 1 %3D

A: Note : "As per our guidelines we will solve only first question . If you want any specific question…

Q: Find the function satisfying the differential equation y' – 4y = 4e®t and y(0) = 0.

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Q: Find the function which solves the initial value problem dy/dx= 3ex −2x;  y(0)=−1.

A: Given that dy/dx = 3ex-2x;   y(0) = 1.dy = (3ex-2x)dx            (By cross multiplying)Integrate on…

Q: Solve the initial value problem y(t) = dy dt Y t + 1 + 4t² + 4t, y(1) = − 1

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Q: Solve the following initial value problem (t^2-12t+27)dy/dt=y with y(6)=1 On what interval is the…

A: Solution is given below:

Q: Solve the following initial value problem:  (t2 -10t +21)*dy/dt = y with y(5) = 1

A: To solve the given initial value problem- t2-10t+21dydt=y  with y(5)=1 Here we will use the…

Q: Solve the following initial value problem: 3x(t2- 1)dt + (t3+ 8x-3t)dx 0, t(0) = 1

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Q: Solve the following initial value problem: (dy/dt)+(0.2)ty=4t with y(0)=9. (Find y as a function of…

A: First simplify the given differential equation and write in the form of standard homogenous…

Q: Solve the following initial value problem: dy =-2y+ 6 y (0) = 7 dt y (t) = %3D

A: we are allow to solve one question at a time thank you

Q: Solve the following initial-value problems starting from y(t = 0) = 1 and y(t = 0) = -1. dy = 6t dt…

A: To solve the below differential equation for y(0) = 1 and y(0) = -1. dydt=6t