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1. ### Solving a differential equation

Oh! Okay that makes. Thank You so much!
2. ### Solving a differential equation

How would I simplify futher?
3. ### Solving a differential equation

Homework Statement Find the particular solution of the differential equation \frac{dy}{dx}+ycos(x)=3cos(x) Homework Equations y(0)=5 The Attempt at a Solution \frac{dy}{dx}=3cos(x)-ycos(x) \frac{dy}{dx}=(cos(x))(3-y) \int \frac{dy}{3-y}=\int cos(x) dx -ln|3-y|=sin(x)+C...
4. ### Finding F(x)=G(x)+H(y)=K

Okay. Thank You
5. ### Finding F(x)=G(x)+H(y)=K

So when I separate the variables it should be y1/8dy=35/1+25x^2 dx
6. ### Finding F(x)=G(x)+H(y)=K

The problem is that this is incorrect and I dont know what I did wrong. Can someone see my mistake. Thank You in advance
7. ### Finding F(x)=G(x)+H(y)=K

Homework Statement The differential equation dy/dx= 35/(y1/8+25x2y1/8 has an implicit general solution of the form F(x,y)=K. In fact, because the differential equation is separable, we can define the solution curve implicitly by the form F(x)=G(x)+H(y)=K. Find such solution and then give the...
8. ### Solve the separable differential equation

Okay. That makes so much sense. Thank You so much
9. ### Solve the separable differential equation

Homework Statement dx/dy=-0.6y y(0)=5 Homework Equations The Attempt at a Solution I tried solving it by \intdy/y=\int-0.6dx ln(y)=-0.6x+c ln(y(0))=-0.6(0)+c ln(5)=c ln(y)=-0.6x+ln(5) y=e^{-0.6x}+5 But its incorrect. I don't know what I am doing wrong. Can someone helping...