Given the differential equation and its initial conditions y" + 8y' + 15y = 7x? - 10 with y(0) = 4 and y'(0) = - 10 The Specific Solution to its Particular Solution is 112 1564 3375 At this point our General Solution to the original differential equation is 112 1564 y(1) = C,e + C,e 15 225 3375 Find the values for C and C; by 1. Finding the first derivative of the general solution. 2. Plug the initial conditions into the general solution and the derivative of the general solution. 3. Use the resulting system of equations to find C, and C. 97 -7 125

Q: Entered Answer Preview Result en [5*e"(1-[1/(e^n)])]/(e-1) incorrect - 1 е — 5е (1 - ) en [5*e*(1-[1...

A:

Q: (-x³ + 3x² + 1) dx 2) (x* + x³ – 4x² + 6) dx -2 3) 12x + 13) dɔ 4) -x³ + 3x² – 2) dx

A: Follow the procedure given below.

Q: Write clear and detailed solutions for each problem. 1. Determine the amplitude, period, vertical sh...

A: NOTE: Refresh your page if you can't see any equations. . let the function is in the form of as we ...

Q: 1. y'dx-(xy + y* \dy = 0 Let the substitution y=2; y= vx; dy=vdx+xdv

A:

Q: Discuss the continuity of the function whose graph is shown below. Your discussion should addres a. ...

A: Given that: Graph of a function.

Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had decrease...

A:

Q: xydx – (x+ 2y)² dy = 0 b.) -

A:

Q: 2. x'dy+(2xy-y'dr = 0 Let the substitution y=2; y= vx, dy=vdx+ xdv

A: x2dy+2xy-y2dx=0

Q: f (t) = 3 (t + 1) H (t – 1) |

A: Solution ) f ( t ) = 3 ( t  + 1 ) H ( t - 1 ) Formula  [ L g(t) H ( t - a ) = e-asL{ g( t + a ) } a ...

Q: Finding the area between curves. Below, we see a region bounded by two curves. The region shaded in ...

A:

Q: 1. Use the graph to find the limits In (t + 2) f(t) = 2- -2 2 a) t→0 lim f(t) b) lim f(t) t→-1

A:

Q: 2. (бху? — хе"у + 2у)dy %3D у(еУ — 2у?)dx

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is of the differ...

Q: f (t) = 2 (sinh t) (sint)

A: The given function is: f(t)=2sinh(t) sin(t)

Q: Find the indicated integral (if it exists) / e bx dx e12z +1

A:

Q: Suppose a stone is thrown vertically upward with an initial velocity of 48 ft/s from a bridge 64 f a...

A: NOTE: Refresh your page if you can't see any equations. . to find the equation of velocity take der...

Q: Find the laplace transform using integral transformation

A: Given that: 1. ∫0∞e(-s-7)tdt2. ∫0∞4e-st.sin(6t)dt3. ∫0∞t2e(-s+3)tdt

Q: 9. Use the Intermediate value theorem to show that f (x) = 2x³ – 3 has a zero in the interval [1,2]....

A: Given that: f(x)=2x3-3 in the interval [1, 2]

Q: R m 1 Uo 1 2Tr dr TR²

A: Follow the procedure given below and use simple integration principle.

Q: Finding the work done in stretching or compressing a spring. Hooke's Law for Springs. According to H...

A: NOTE: Refresh your page if you can't see any equations. . a force of 17 N, stretches a spring 0.3 m ...

Q: 2.b) Eliminate the Arbitrary Constants in the equation: * x²y = 4 + Cy x?y = 4 + y' x?y" = -4y O b. ...

A:

Q: A function f(x,y) is homogeneous of degree 7 in x and y if and only if, __________.

A: Given problem is solved below.

Q: Find and y" for y = 0 cos e. %3D

A: y=θcosθdiff w.r.t θdydθ=-θsinθ+cosθdydθ=cosθ-θsinθ y'=cosθ-θsinθ 

Q: 7. 11 object A's works out to be the same length of 7 object B's. How many object B's would it take ...

A: Follow the procedure given below.

Q: Evaluate the following Integrals: 1. 6x² sin x³ dx

A: NOTE: As per our guidelines, I have solved the first problem in the picture.

Q: Area of a surface of revolution for y= f(x). Let f(x) be a nonnegative smooth function (smooth means...

A: Given:- f(x) =x3/6  To find:- Setup the integral that will give the area of the surface generated b...

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: x'dy+(2xy – y² )dx = 0 Let the substitution y= y=vx; dy= vdx + xdv

A:

Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b+ x) + 59.

A: y2=a(b-x)(b+x)+59

Q: (I-) = 2- VT-I (b) i) Compute lim- ii) Hence prove the limit in i) above by -ố definition. 2

A:

Q: Calculate the arc length of the curve y=ln(cos x) from x=0 to x=÷. You will need to use the followin...

A:

Q: T26 = – 454 and T43 = – 760 are terms of an Arithmetic Sequence. Determine... 1) ...the first term (...

A: T26=-456T43=-760  T26=a+25d         -454=a+25d  T43=a+42d     -760=a+42d solve the above two equatio...

Q: 14.25 т/sec 16.25 m/sec

A:

Q: Evaluate f (5+ln æ)? -dx. Give your answer as a simplified fraction if necessary. The value of the d...

A:

Q: Alden found a partially completed 5-D table: 6. Define Do Decide Target 74 Trial 1: 15 2(15) = 30 15...

A:

Q: Evaluate sin? () : 1/2

A: Given that; sin2π3

Q: x^2y=4+Cy Eliminate Arbitrary Constant

A: Here we will eliminate arbitrary constant,  

Q: and evaluate the integral that gives the volume of the solid generated by revolving the plane region...

A:

Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: (a) y = -T (b) y = 2x° + 3x (c) y = x² + 5x 7 (d) y = x(x - 1) %3D -

A:

Q: y = C,e²x cos(3x) + C2e2x sin(3x)

A: y=c1e2xcos3x+c2e2xsin3x  differentiate with respect to x dydx=C1(e2x3(-sin3x)+2e2xcos3x)+C2(e2x3cos3...

Q: The period of y = 3 cos 5x is 2 2 /5 2 /3

A: Given that: y=3cos5x

Q: 1- メー」 メ メ+ 2- you 3- 3+13 y= メー/3

A:

Q: . Using inclusion-exclusion find the number of ways to put 9 pairs of people in a ne of 18 so that n...

A:

Q: Find the equation of the line through the points (,-2) and (-4,-1). Write your answer in the form y ...

A: We need to find equation of line.

Q: II. Solve for the derivatives implicitly. 42 y-2x = 2 +4y³. + 4y³. =1 5. 6.

A: We can differentiate the derivative implicitly as below

Q: Let f(z) Find the values of a where f' (1) = 6. こ+7 Give exact answers (not decimal approximations)....

A:

Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

A:

Q: Given the differential equation y" - 2y' - 8y = 5x e3x The General Solution to its Particular Soluti...

A:

Q: 213 +1 dt 3 (* +2) 1.

A: Solving the problem by doing the substitution.   NOTE :: As per our Expert guidelines we are suppose...

Q: 3. Let 4x-10 if x5 Compute the following limits when they exist. x-5 a. lim g(x) x-5- b. lim g(x) x→...

A: