Find h (3).

Q: Find + 2x + 3 d x2

A: ∫(7x2+2x+3)dx=∫7x2dx+∫2xdx+∫3dx∫(7x2+2x+3)dx=7∫x-2dx+2∫xdx+3∫dx∫(7x2+2x+3)dx=7x-2+1-2+1+2x1+11+1+3x0…

Q: y' + 2y = e*,

A: Note: Since you asked multiple questions, I solved first one if you want answer of other questions…

Q: Find the particular solution for y' = x3 – 2xy when x = 0, y = 1

A: We are given a differential equation: dydx=x3-2xywith the initial cobdition x=0, y=1 We can solve…

Q: Find for y = x. -

A:

Q: f(x, y) = x4 + 13x³y³ - 5xy4 + 14

A: Given: fx, y=x4+13x3y3-5xy4+14To Find: To determine ∂f∂x and ∂f∂y.

Q: f(x) = V2x + 6

A: Given function is, f(x) = 2x+63=(2x+6)13 Tangent line of the function at x = 1 is given by,…

Q: D. f(x) = In x + 2e - 3x2

A:

Q: y" + 2y' +y = e-*

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

Q: f(x) = 7x + 10 g(z) = + 2

A: Given query is to find indicated function value.

Q: 5T 1 y=-2cos(Gx+っ)+1

A: Phase shift: -5π

Q: A- ( yB-( ) = G 50 lyB = 2), determines 4A – 3B.

A: The given question is from the topic of determinants

Q: -2t x' – 5x = -e", x(0) = 3

A:

Q: Find Pr(Y=2|X=3).

A: The probability distribution table is given To find Pr(Y=2|X=3) here we use the formula…

Q: Solve for x: Ax + By = Cx + D.

A: Solve for x:  Ax+By=Cx+D.   Subtract Cx on both sides. -Cx+Ax+By=-Cx+Cx+D-C+Ax+By=D

Q: 2. Reflect across the x-axis. A -2-

A:

Q: Find d²y/dx² for the following equatio: f) x2/3 + y2/3 = 1 g) x³ + y4 = 16

A:

Q: Find Z(D4).

A:

Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: Ду Given y = x² + 3x + 5, find Ax

A:

Q: 1) y = Vx -1

A: According to our guidelines we are suppose to do only one question . Kindly repost other question as…

Q: (2x+1)y' =e", with y(0)=0.

A:

Q: Select all the functions that are a solution of y" - y = 0

A:

Q: Find (d) E (X² . Y²)

A:

Q: f(x)=10/17sqrt(6x^2+2x+6)= 10(6x^2+2x+6)^1/17, then df/dx =

A: f(x)=106x2+2x+6117

Q: What is the domain of y=ln(x^2+3x−18)

A: Consider the given function

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

A:

Q: Find dxdz -2 -3lnax) a= constant

A: find d2ydxdz y=(z14-3lnax2)-2

Q: d. f(t) = E 1 -8-

A: This is a function problem

Q: fG)=4x-3 SCx) == (s09) (x)=

A: gx=x2

Q: 1.y =z+1

A:

Q: -2 c. [.x²e²²x² dx 0

A:

Q: E. Find x²+y = 4 %3D

A: x2+y2=4

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

A: Solve for the Angle T

Q: Eliminate the arbitrary constant y = C1x + C2e e¬ª + x² - X

A: Given that y=c1x+c2e-x+x2Solution : dydx=y'  , d2ydx2=y''y=c1x+c2e-x+x2   ... 1y'=c1-c2e-x+2x   ...…

Q: y = vx – 3(x² – 1)

A: The product rule of differentiation states that uv'=u'v+v'u.

Q: Find the initial value of the relation y = 3(x+3)² + 7

A:

Q: Differentiate.  y =t / (t- 1) 2

A: To differentiate the function y=tt-12. Quotient rule of differentiation states that:…

Q: dydx x² +y²

A:

Q: ez (z² C +1)

A:

Q: Find for the given function. dx2 y = 9x + 6

A:

Q: N T. E R. X +5 2x - 3

A: Congruence is a property of similarity for two geometric figures. Two geometrical figures are…

Q: Solve for x. Show all of your work. 10x + 10 11x + 2

A: We have to find the value of x

Q: Find the value of the fx(2 − x) dx - 0

A: Solution :- 1250·∫02x2-x49dx Substitute u = x-2dudx=1du = dx-1250∫u49(u+2)du

Q: H.W. Xdx 1-- 1+3X2

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: 4. F(t) = e-tsinh (4t)

A:

Q: 10) f(x) = V3x – 1

A: Explanation of the solution is given below..

Q: Determine whether e y = x2 - 4x + 3

A: since we answer only first three sub-parts so we will answer first three. Please resubmit the…

Q: de J( - 2)V- 4x + 3

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.