WebGiven a differential equation in x and y, we can draw a segment with dy/dx as slope at any point (x,y). That's the slope field of the equation. ... If dy/dx=x-y, you could just find where the slope is 0 by saying 0=x-y, which implies that y=x. Therefore, along with the line y=x, there should be horizontal lines. This gives you an infinite ... WebRelated Calculus Q&A. Find answers to questions asked by students like you. Q: Find the directional derivative of ƒ (x, y, z) = 4x² – 4y² – 2z² at the point P = (–−5, −1, –4) in t…. A: Note:- Here we consider your given equation is y=x3lnx instead of y=x3In (x) because …

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WebAnswer: dy/dx+y=sinx. Multiply it e^x. You get d/dx(ye^x) = e^x sin x Integration of the left side is not a problem . L int e^x sin x dx =I= e^x sin x - int e^x cos x dx. Repeat the integral e^x sin x -e^x cos x + int e^x (-sin x) dx= e^x sin x -e^x cos x -I 2I = e^x sin x … WebFind dy/dx y=sin(xy) Step 1 Differentiate both sides of the equation. Step 2 The derivativeof with respect to is . Step 3 Differentiate the right side of the equation. Tap for more steps... Differentiate using the chain rule, which states that is where and . Tap for … photo booth headington

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Webdy/dx + sin (x+y/2) = sin (x-y/2) Solution Verified by Toppr Video Explanation Solve any question of Differential Equations with:- Patterns of problems > Was this answer helpful? 0 0 Similar questions ∫e x(cotx+logsinx)dx Medium View solution > ∫e tan −1x( 1+x 21+x+x 2)dx is equal to? Hard View solution > View more More From Chapter WebOct 24, 2024 · Problem: Find the solution and domain of validity for the following differential equation: $\dfrac{dy}{dx} = \cos(y) \cdot \sin(x)$. What I tried: I noticed that this is a separable equation, so I wrote it in the form: $\dfrac{1}{\cos(y)} \cdot dy = \sin(x) \cdot … WebSolution of the differential equation sin(dxdy)=a with y(0)=1 is A sin −1[ xy−1]=a B sin[ xy−1]=a C sin[1+x1−y]=a D sin[x+1y]=a Medium Solution Verified by Toppr Correct option is B) ⇒ dxdy=sin −1(a) ⇒dy=sin −1(a)dx ⇒y=xsin −1(a)+C Given y(0)=1 1=0+C⇒C=1 ⇒y=xsin −1(a)+1 ⇒ xy−1=sin −1(a) ⇒sin( xy−1)=a photo booth harry potter