, h(t) = -4t² + 10t + 18, w %3D

Q: Q6. Find the general solution using variation of parameters of y"+ 4y 8tant %3D | 2

A: To solve the differential equation:

Q: what is the Solution ofequation とdx +(2Xlogk - メy)dyニ。

A:

Q: Find DF of fcxiy)=x²e° at the point (-2,0)-

A: Given function is fx,y=x2ey. We have to find the ∇f at the point -2,0. We know that ∇f=∂f∂xi+∂f∂yj…

Q: d) (D3 – 3D2 + 4D – 2)y = e* -

A:

Q: Differentiate g(t) = (4t² – 3t + 2)-2 %3D

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

Q: determine L−1[F].

A:

Q: Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0 -

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Q: d?y 13 으18 + t6/3- t2 + 246 3 Find if y(t) - dt2 3

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Q: Non Homogeneous: (D2 − 7D + 6)y = 3x2 − 2x + 5

A: Here we have to solve the non-homogeneous differential equations     (D2-7D+6)y = 3x2 - 2x +5 .

Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…

A:

Q: Solve this DE (D2+2D+2)y = e-xcscx

A:

Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

A: Find the derivative of the given function.

Q: f(t) = 2 cosh²3t %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: f(x,y) = 40x+ + 72x³y+ 85XU fur eblidl w jall dissui %3D -226x2 A O -226 BO 216x2 CO

A: To find fyx = ?   Given : f(x,y) = 40x4 + 72x3y + 85x

Q: Obtain the genral solution. (D3 + 5D2 + 7D+ 3)y=0

A:

Q: Find dx2 d²y if x = 3cos4t and y = 6sin4t. %D

A: Eliminate the variable t and form a equation in x and y only than take two times derivative.

Q: Find d² y dx² for x³ + y³ = 2 43

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Q: z· 3°dz

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Q: d3y find 3 5) If y = 4x + z %3D dx3

A: Given that: y=4x3+3x2

Q: (D³ - 4D²D'+ 5DD² – 2D ) z = e'+2* + Vy+x. |

A:

Q: (3x + y5)dy – ydx = 0 %3D -

A:

Q: Find the DE by eliminating the arbitrary constants |.cʻy² = xCx- )° %3D

A:

Q: 3.Find [, L (3x² + y)dydx

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Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: XY = WZ m22%3D36°, m ZW = 57°, find m23

A:

Q: Find m2T (2x) R S T -

A: Solve for the Angle T

Q: 2dt J (t - 3)V2 – 6t + 5

A: Given that: ∫2dt(t-3)t2-6t+5

Q: y" – 6y' + 9y = :

A:

Q: dy 9. x2-y = Jx2 – y². – y?.

A: Given:xdydx-y=x2-y2

Q: Find d?y/d?x from x=t2-3t+4 and y=t2 +4t -5.

A: The parametric equations are x = t2-3t+4 y = t2+4t-5 To evaluate: The expression of d2ydx2 Formula…

Q: Is the equation y '(t) = 2y - t separable?

A: Given a differential equation, y't=2y-t

Q: (D3 – 3D2 + 9D + 13)y = 0 sle plel Ja

A: The given differential equation is ;                    D3-3D2+9D+13y = 0 We have to find the…

Q: [v= -y +2x ,x' = 4y + x + t

A:

Q: Find d3y dx3 of y = x³e-x

A:

Q: dy of y3Dx dr Find csc2r,

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Q: d³y of y = (3x*-5)(2x³+9x-6) Determine the %3D dx3 7x5

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Q: y t dy + 5x + 3y

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Q: b) f(x, y)=-2x². + 8x − 3y² + 24y + 7

A:

Q: Is the equation t²y' (1) t + 4 - separable? y?

A: t2y't=t+4y2

Q: Н. W.: -1/3 6dx 2. V9x2+ 1 c2/3 dy

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q1: - find dylax for y = 5cscx³

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Q: Q5: 6y²dx-x(2x² + y)dy == 0 (Linear BernoullLeq.)

A:

Q: dz Find from the equation x*y+ x z+ z² = 4 ax

A: We differentiate both sides with respect to x, considering z is a function of x.

Q: y (t² + 7t + 5) (5t² + 3), tin fir dy

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Q: f(x) = v2x2 – 13 s %3D -

A:

Q: dy y2+1

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Q: (x = s² – t² y = s·t³ z = 2x – 5y,

A: See the attachment

Q: Find DF of fcx,y)=x²e° at the point (-2,0)-

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Q: Q2 Find2 of y = 4x/x+ vã at x=1? %3D

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Q: dx Vx²-4x-7 7. dy y2-8y+5

A: