d²y dx2 -y = 10sin²x

Q: dy c) dx 4x y =1. 4x2 -9

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Q: Calculate d2y dx2. y = −4x2 + 7x

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Q: dx (x2 - 169) 3/2 *> 13

A: Use the trigonometric substitution and simplify the integration than solve it.

Q: alculate d2y/dx2 when y=3x.5-6x

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Q: d²y Find dx2 1 y = ,2

A: Consider the given equation is, y=1x2 Differentiate as, y=x-2dydx=-2x-2-1dydx=-2x-3dydx=-2x-3

Q: dy :- 15x²y and y = 4 when x = -4 dx

A: To solve the initial value problem  dydx = -15 x2ydyy = -15x2 dx

Q: y = V3x² + 6.

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Q: d'y 4x dx2 dy +6- + у %3D0 dx

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Q: -dx x2 + 2

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Q: dy + (1x – 7)y = 2x7 dx

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Q: - dx x² +16

A: Topic:- Integration

Q: d²y Find xp y = d²y 口 %3D dx 2.

A: topic - double derivative of a function

Q: Calculate dx2 y = 2x0.4 – 3x d²y dx2

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Q: calculate d2y/dx2 when y=-3x2+2x

A: . Given y=3x2+2xwe find d2ydx2

Q: Solve: dx dy = 3x5(9 + y²)3/2 %3D

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Q: Find y dx' 1. y (32x)³(x² - 2)

A: Here is the solution

Q: „ 2x2-5x if y= dx dy Find 5x3 +5

A: y = ( 2x2 - 5x ) / ( 5x3 + 5 ) y'=?

Q: dy 2x2y+y 二 dx

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Q: d’y dx² 5 + 6y = 3x+3 dx

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Q: find d^2y/dx^2: y^3=4x^6

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Q: calculate d2y/dx2 when y=0.4x-0.3

A: use this formula:

Q: dy. dx2 y = -6x2 + 7x Calculate d²y dx2

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Q: c. S(xeRx-5 +)dx 7 9-Rx

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Q: d²y + y = 0 dx2

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Q: Find dy dx 4. y = xln(5x-2)

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Q: y(6y² - У (бу? — х — 1)dx + 2xdy 3D 0

A: y6y2-x-1 dx+2x dy=0⇒2x dy=-y6y2-x-1…

Q: dy + (1x dx 7)y = 2x°

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Q: d?y Calculate dx2 y = -4x2 + 4x d?y dx2

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Q: dy Determine or y' dx 2x2 – 3 3. y = (x + 4)²

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: y = + 2x2, find dx dy and dx2 d'y

A: The given function is: y=1x3+2x2⇒y=x-3+2x2 Differentiating it w.r.t x: dydx=ddx(x-3+2x2)…

Q: d’y d²y D. = 3e* +4x2 dx dx2

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

Q: Calculate dx2 y = -4x2 + 6x d?y dx2

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Q: dy 2 y = x3 – 6x3 бх3 — 5; - | dx5

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Q: d?y Calculate dx2 y = -4x2 + 7x d?y dx2

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Q: 4d³y-13 +6y=0 dy dx3 dx

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Q: dy Calculate dx2 2 y =

A: To calculate d^2y/dx^2

Q: d'y Calculate dx2 y = -5x2 + 7x %3D d?y dx2 %3D

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: dy + 3x?y = 6x2 dx

A: A first-order differential equation is considered as separable if for the differential equation,…

Q: V1+x3 –dx r-2

A: ∫1+x33x-2 dx∫x2.1+x33 dx13∫3x2.1+x33 dx13∫3x2.(1+x3)13 dx

Q: d³y Find dx3 where y = e*(8x + 1)

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Q: calculate d2y/dx2 when y=-2/x2

A: Given: y=-2x2

Q: d²y If y = x Inx , find dx²

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Q: d²y -4x+ dx? 4x*y = xe* dx

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Q: dy Find - if y = dx dx 9x-8 72x2

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: dy х+ 3 dx (x2 + 6х - 3)2 y =

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Q: y(6y^2-x-1)dx + 2xdy =0

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Q: Find ay/dx. 8x²y - y

A:

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.