dy + 6y = 9t dt

Q: y(r) = 6x + 4 L (x – t)y(t)dt %3D

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Q: dy 2-+ dt dx 5et || dt

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Q: dy dx -3х а) +3y= 2xe3* b) t- +3x = 2t°, x(2) =1 dx dt

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Q: dx = 3x + 2y dt (a) dy 4x + y | dt

A: a Let X'=AX where x=xy , A=a11a12a21a22Equilibrium point:-1 Node →  λ1,λ2 are real number of the…

Q: dx = t(1 + t^2) sec^2 x dt.

A: Solution :-

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

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Q: dx -0.16x + 0.08xy dt dy 4.5y – 0.9xy - dt

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Q: Solve the initial value problem.

A: The initial value problem: dydt=2t+9t2, y1=2

Q: Solve J. e-t sint dt. 0,

A: Introduction: The Laplace transformation is very useful in determining the integral. The Laplace…

Q: dt - 5t 4. | zv V100 – x² dx > 6.

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Q: dt dy 글 + 1y dt

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Q: 1. -y = dt dy *+ 4x = 1 dt

A: We have to differentiate one of the given equation first to exclude one of the variable.

Q: dx -y = 5 dt dy = 3t dt 2x -

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Q: d²x 1. dx +9x =0. when t-0, x-2 and dt dt dt

A: Note: since you posted multiple question. As per our guidelines we are supposed to solve one at a…

Q: 3tx dx - (? -x?) dt = 0

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Q: dy + 0.4ty = 3t dt with y(0) = 5.

A: This equation is of the form of bernoulli equation.

Q: 2x(y + 1) dx – ydy = 0 when x = 0, y = -2 %3D -

A: Here differential equation is given as 2xy+1dx-ydy=0or2xy+1dx=ydy⇒2xdx=ydyy+1⇒2xdx=dy-dyy+1

Q: If y = x + ex, find dx/dt.

A: Given query is to find the derivative of the expression.

Q: 1 S(t – 4t) dt

A: Given that: The limit is limN→∞ ∑i =1N  iN2 - 4iN×iN .

Q: dx = 3x + 2y + 4z dt dy = 2x + 2z dt dz = 4x + 2y + 3z dt

A: Consider the given system of equations, dxdt=3x+2y+4zdydt=2x+2zdzdt=4x+2y+3z In the matrix form it…

Q: dy Find dx dt' dt and dx dy x = 3t3 + 6t, y = 4t – 5t2 dx dt dy dt dy xp ||

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Q: dx | | dt dy dt dz dt 2x + y + 2z 3.x + 6z = -4x – 3z - =

A: Given: The differential equations are  dxdt=2x+y+2zdydt=3x+6zdzdt=-4x-3z To find the general…

Q: S (sech*y – sec®y) dy

A: I =∫ (sech4y -sec6y) dyI=∫ sech4y -∫ sec6y dyI=∫ sech2y (1-tanh2y) dy       -∫ sec2y (1+tan2y)2…

Q: dx = 3x + 2y dt dy -2x + 3y dt

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Q: dg Calculate dt where g(t) = t-3 + 2i -1-4/5.

A: We have to calculate dgdtt=1 for the given function: gt=t-3+2t-t-45 We know the formula of…

Q: Solve xy'dy -(x' +y')dx = 0

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Q: dx=o 生X Xe dt

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Q: dx 1. dt 2х + 3у — 7 dy —х — 2у + 5 dt

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Q: dx | | dt dy dt dz dt = 3x + 2y + 4z = 2x + 2z = 4x + 2y + 3z

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Q: 3 メ=3tL 2. dt 2. dyt d x

A: x and y are function of t we have to find out the first derivative and second derivative for the…

Q: dx -3 +2x dt = 2 is

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Q: dy -: y = 6x² – 4x, dt dx = 7,x = -2 dt (5) Find -

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Q: t'dx -X X(1)= 2 dt

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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: Find dy/dt y= t^4(t^6+8)^6

A: We have to find derivative (dy/dt).Y is given below:

Q: t2+1 = 0 dv Vt- dt V+1

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Q: 1 dy t dt -4y + 6 %3D

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Q: 1. y = 3x2 - 5x when x = 3 dx when x= 2 b. dt a. 32 dt dy dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dx Зх — 2у — z dt - dy 3x – 4y – 3x dt dz - 2x – 4y dt

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Q: Find: d/dt (xe^x)

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Q: dx + 2x + + 6y = 2e' dt dt dx 3x +3. dt 2.+ + 8y = -1 dy dt

A: The given equation can be re- written as:

Q: の そ ニ ゼdd + とd dt :d と の まdと +(そ-乳)よy:。

A: As per the company's guidelines, we are supposed to solve first three sub-parts for you, kindly…

Q: Hiw 2 4t é dt 2 O Sx Sečx dx

A: (1) Consider the given integral. I=∫csc3dx The reduction formula is defined as.…

Q: dx + 2x – 3y = t dt

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Q: dy 38. dt у сost

A: Given Information: The differential equation is dydt=ycost. Calculation: Calculate the general…

Q: Solve (2t³ + 3y)dt + (3t + y – 1)dy = 0

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Q: d’y -4 dy +y=t²-2t +3 1. dt? dt

A: The given differential equation is; d2y/dt2 -4dy/dt +y=t2-2t+3. Repost the next part.

Q: dx = x – 2y + 1 dt dy = x + 3y – 9 dt

A: given

Q: 1 dz -÷z³ = t² + 3t – 2 dt 3 z2 -

A: Differential equations and their type