da dt dy 1 Int x + dt

Q: Solve the given differential equation by integrating factor method: 8ху dx + (4y + 9х?)dy 3D 0

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Q: +2y = t² – t + 1, y(1) = dt

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Q: Solve the differential equation d?y dy 3 + 2y – t = 0 dt dt2 subject to the initial conditions that…

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Q: dP VPt. P(1) = 2 dt %3D

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Q: Is the differential equation linear? dy dt + y2 = x

A: The given differential equation,     dydt+y2=x

Q: Find the particular solution of the differential equation that satisfies the initial condition. dy…

A: Given differential dydx=116-x2 dy=116-x2dx Integrating both sides ∫dy=∫116-x2dx We know that…

Q: What is the integrating factor of the given differential equation (2xy- 1) da + a dy = 0 ? O r-1 O e…

A: The given problem is to find the integrating factor for the given differential equation, we have to…

Q: Find the explicit general solution to the differential equation. Hint: Homogeneous. xy + y? – x²y' =…

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Q: dy - y = 0 dx + + 4y = 10; dt dt

A: Solution Given dxdt+x+4y=10;   x-dydt-y=0We need to find the integro differential equation solve…

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. y…

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Q: Determine the order of the differential equation. 3 dy a) +y = sin x dx dy +t+2y= sin(t) dt? b) ?…

A: 1a dydx3+y2=sin x

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: Find the general solution of the differential equation dy dy + 4- + 3y = e-t. dt dt?

A: Given that, d2ydt2+4dydt+3y=e-t

Q: Solve the differential equation. dz + 4et + z = 0 dt %3D - In(#|) z = C+

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

A: ln(a/b) = lna - lnb

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: Solve the differential equation that satisfies the given initial condition: dy xe",where y(2) = 0 dx…

A: We first separate the variables and then integrate  C= integrating constant

Q: . Find the integrating factor of the first ordered linear differential equation, (x + 3y)dx – xdy =…

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Q: dx -x+3у dt dy -3х + 5у dt

A: Given the differential equation is  dxdt=-x+3y......idydt=-3x+5y..........ii…

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: Find the integrating factor so that the given differential equation will become exact DE. – 3) dæ +…

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Q: Find an integrating factor that will make the given differential equation exact- 2y Cx²tD dx + dy =0…

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Q: In the differential equation (xy+1)dx+x(x+4y-2)dy=0, the integrating factor is,

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Q: Find the solution to the differential equation dz = 2te?z dt at passes through the origin.

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Q: dy %3D 1 + x + and f(0) = 1, find the particular solution to the differential equation. - dx

A: Given,           dydx=1+x+x22 and f(0)=1

Q: (A) Find the integration factor of the non exact differential equation 2y +1 e +2y

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Q: h = 0.25

A: Euler's method is yn+1=yn+hfxn,yn Modified Euler's method y'n+1=yn+h2fxn,yn+fxn+1,yn+1  xn=xn-1+h…

Q: dy dy -4 =0 dx dx O 2 and 6 O 2 and 4 O 1 and 6 O 1 and 4

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Q: (a) Use the integrating factor method to solve the differential equations dy + (1+ x)y = e¯*; y(1) =…

A: It is a linear differential equation of order 1 and gence we will first find its integrating factor…

Q: Solve the given integral equation or integro-differential equation for y(t). y'(t)-6 t-v y(v) dv =t,…

A: The given integral differential equation  y't-6∫0tet-vyvdv=t can be written as y't-6etyt=t Applying…

Q: (a) Use the integrating factor method to solve the differential equations dy (1+x)y = e*; y(1) = 0…

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Q: Find the solution of the differential equation that satisfies the given initial condition. dP dt =…

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Q: Obtain the general solution of the differential equation using Variable Seperable or Homogeneous.

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Q: The particular solution of the differential equation dx x + Int when t = 1, x = 3 is dt a. x = 4t –…

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Q: Solve the particular solution of the differential equation dQ + dt 1 E RC R Consider that at t = 0,…

A: Solve by using linear differential equation

Q: Evaluate the solution of differential equation when y(0)=1 and y'(0)=D0. d?y dy-8y 0 %3D dt? dt

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Q: Solve the differential equation dr 4x In r dt Assume r, t > 0, and use the initial condition x(1) =…

A: Given differential equation: dxdt=4xlnxt. Also assume that x,t>0 and the initial condition is…

Q: (u* + v*)du – uv'dv = 0

A: We have to find

Q: Find an integrating factor for the differential equation 3y + 2t ) dt + 3 dy = 0 t2 t2 (justify your…

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Q: dy y= e* , z e 1, is dr I-1 A eーよ B 1 C エ-1 D D I-1

A: In the question it is asked to calculate the value of integrating factor for the differential…

Q: Find a general solution of the given differential equation. d²y dy 2-+ y = e'tan-1t dt2 dt

A: Given differential equation is  d2ydt2-2dydt+y=ettan-1t Associated homogeneous differential equation…

Q: dy = xe', y(0) = 0 dx %3D

A: dydx=xey⇒dyey=x dx⇒e-y dy=x dx⇒∫e-y dy=∫x dx⇒-e-y=x22+C⇒e-y=-x22-C⇒-y=ln -x22-C⇒y=-ln -x22-C

Q: Solve the separable differential equation dx 5 dt and find the particular solution satisfying the…

A: Given that:dxdt=5xx0=4To find x(t)

Q: Find the general solution to the separable differential equations. a) 2xy dy = 1 b) dx - Int1-x? ,…

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Q: Find the solution of the differential equation that satisfies the given initial condition below dy…

A: This question is related to differential equations, We will solve it using given information.

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

A: Given differential equation is dy/dx=(y-x)/(y+x)

Q: Solve the given integral equation or integro-differential equation for y(t). y'(t) + - v)y(v) dv =…

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Q: dy ト+e dx

A: Calculus

Q: Solve this system of simultaneous differential equations. 3 at + = 2e dt dy + 8 y dy + 4 x + dt = t…

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

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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.