How can Laplace & Convolution theorem be applied to solve homework problems?

miuw
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Please help me to solve these problems in my homework. I should deliver it tomorrow.
 

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Welcome to these forums miuw. You might want to read the rules. Homework should be posted in the homework section but, even so, you aren't going to find anyone here to do your homework for you. You need to show what you have tried.
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
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